# Rational And Irratonal Square Roots

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| By Carlosvaras
C
Carlosvaras
Community Contributor
Quizzes Created: 1 | Total Attempts: 242
Questions: 10 | Attempts: 243

Settings

Please answer true or false to the statement.

• 1.

### The square root of 64 is irrational.

• A.

True

• B.

False

B. False
Explanation
The square root of 64 is not irrational. The square root of 64 is 8, which is a rational number because it can be expressed as a fraction (8/1). Irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal representations. Since 8 can be expressed as a fraction and has a terminating decimal representation, it is not irrational. Therefore, the correct answer is false.

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• 2.

### The square root of 34.6 is rational.

• A.

True

• B.

False

B. False
Explanation
The square root of 34.6 is not rational because it cannot be expressed as a fraction of two integers. The square root of 34.6 is an irrational number, meaning it goes on infinitely without repeating and cannot be expressed as a simple fraction.

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• 3.

### The square root of 36 is rational.

• A.

True

• B.

False

A. True
Explanation
The square root of 36 is rational because it equals 6, which is a whole number and can be expressed as a ratio of two integers. In this case, 6 can be written as 6/1, making it a rational number.

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• 4.

### The square root of 81 is rational.

• A.

True

• B.

False

A. True
Explanation
The square root of 81 is rational because 81 is a perfect square. The square root of a perfect square is always a whole number, and whole numbers are considered rational numbers. In this case, the square root of 81 is 9, which is a whole number and therefore rational.

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• 5.

### The square root of 82 is rational.

• A.

True

• B.

False

B. False
Explanation
The square root of 82 is not rational because it cannot be expressed as a fraction of two integers. The square root of 82 is an irrational number, which means it cannot be written as a terminating or repeating decimal. Therefore, the correct answer is False.

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• 6.

### The square root of 72.6 is irrational.

• A.

True

• B.

False

A. True
Explanation
The square root of 72.6 is irrational because it cannot be expressed as a fraction or a terminating or repeating decimal. The decimal representation of the square root of 72.6 goes on indefinitely without repeating, indicating that it is an irrational number.

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• 7.

### The square root of 25 is rational.

• A.

True

• B.

False

A. True
Explanation
The square root of 25 is rational because a rational number is any number that can be expressed as a fraction of two integers. In this case, the square root of 25 is 5, which can be expressed as the fraction 5/1. Therefore, it is rational.

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• 8.

### The square root of 50 is irrational.

• A.

True

• B.

False

A. True
Explanation
The square root of 50 is irrational because it cannot be expressed as a fraction or a terminating or repeating decimal. It is a non-repeating, non-terminating decimal. The square root of 50 can be simplified as the square root of 25 times the square root of 2, which is 5 times the square root of 2. Since the square root of 2 is irrational, the square root of 50 is also irrational.

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• 9.

### The square root of 100 is irrational.

• A.

True

• B.

False

A. True
Explanation
The square root of 100 is irrational because it cannot be expressed as a fraction or a terminating or repeating decimal. The square root of 100 is 10, which is a rational number, but it is also -10, which is also a rational number. Therefore, the square root of 100 has two rational solutions, making it irrational.

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• 10.

### The square root of 49 is irrational.

• A.

True

• B.

False

B. False
Explanation
The square root of 49 is not irrational because it is equal to 7, which is a rational number.

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Oct 04, 2013
Quiz Created by
Carlosvaras

Related Topics
The text passage is a quiz consisting of 10 true/false questions about whether the square roots of certain numbers are rational or irrational. Each question is followed by the correct answer and an explanation.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Rational And Irratonal Square Roots

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Carlosvaras
C
Carlosvaras
Community Contributor
Quizzes Created: 1 | Total Attempts: 242
Questions: 10 | Attempts: 243

Settings

Please answer true or false to the statement.

• 1.

### The square root of 64 is irrational.

• A.

True

• B.

False

B. False
Explanation
The square root of 64 is not irrational. The square root of 64 is 8, which is a rational number because it can be expressed as a fraction (8/1). Irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal representations. Since 8 can be expressed as a fraction and has a terminating decimal representation, it is not irrational. Therefore, the correct answer is false.

Rate this question:

• 2.

### The square root of 34.6 is rational.

• A.

True

• B.

False

B. False
Explanation
The square root of 34.6 is not rational because it cannot be expressed as a fraction of two integers. The square root of 34.6 is an irrational number, meaning it goes on infinitely without repeating and cannot be expressed as a simple fraction.

Rate this question:

• 3.

### The square root of 36 is rational.

• A.

True

• B.

False

A. True
Explanation
The square root of 36 is rational because it equals 6, which is a whole number and can be expressed as a ratio of two integers. In this case, 6 can be written as 6/1, making it a rational number.

Rate this question:

• 4.

### The square root of 81 is rational.

• A.

True

• B.

False

A. True
Explanation
The square root of 81 is rational because 81 is a perfect square. The square root of a perfect square is always a whole number, and whole numbers are considered rational numbers. In this case, the square root of 81 is 9, which is a whole number and therefore rational.

Rate this question:

• 5.

### The square root of 82 is rational.

• A.

True

• B.

False

B. False
Explanation
The square root of 82 is not rational because it cannot be expressed as a fraction of two integers. The square root of 82 is an irrational number, which means it cannot be written as a terminating or repeating decimal. Therefore, the correct answer is False.

Rate this question:

• 6.

### The square root of 72.6 is irrational.

• A.

True

• B.

False

A. True
Explanation
The square root of 72.6 is irrational because it cannot be expressed as a fraction or a terminating or repeating decimal. The decimal representation of the square root of 72.6 goes on indefinitely without repeating, indicating that it is an irrational number.

Rate this question:

• 7.

### The square root of 25 is rational.

• A.

True

• B.

False

A. True
Explanation
The square root of 25 is rational because a rational number is any number that can be expressed as a fraction of two integers. In this case, the square root of 25 is 5, which can be expressed as the fraction 5/1. Therefore, it is rational.

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• 8.

### The square root of 50 is irrational.

• A.

True

• B.

False

A. True
Explanation
The square root of 50 is irrational because it cannot be expressed as a fraction or a terminating or repeating decimal. It is a non-repeating, non-terminating decimal. The square root of 50 can be simplified as the square root of 25 times the square root of 2, which is 5 times the square root of 2. Since the square root of 2 is irrational, the square root of 50 is also irrational.

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• 9.

### The square root of 100 is irrational.

• A.

True

• B.

False

A. True
Explanation
The square root of 100 is irrational because it cannot be expressed as a fraction or a terminating or repeating decimal. The square root of 100 is 10, which is a rational number, but it is also -10, which is also a rational number. Therefore, the square root of 100 has two rational solutions, making it irrational.

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• 10.

### The square root of 49 is irrational.

• A.

True

• B.

False

B. False
Explanation
The square root of 49 is not irrational because it is equal to 7, which is a rational number.

Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Oct 04, 2013
Quiz Created by
Carlosvaras

Related Topics
user
The text passage is a quiz consisting of 10 true/false questions about whether the square roots of certain numbers are rational or irrational. Each question is followed by the correct answer and an explanation.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS