## Algebra 2 (1st Edition)

$\displaystyle \frac{-6}{7-\sqrt{5}}=\frac{-42-6\sqrt{5}}{44}$
$\displaystyle \frac{-6}{7-\sqrt{5}}\qquad$ ...rationalize the denominator by multiplying it with its conjugate, $7+\sqrt{5}$. $=\displaystyle \frac{-6}{7-\sqrt{5}}\cdot\frac{7+\sqrt{5}}{7+\sqrt{5}}\qquad$ ...simplify. $=\displaystyle \frac{-42-6\sqrt{5}}{49+7\sqrt{5}-7\sqrt{5}-5}\qquad$ ...simplify the denominator. $=\displaystyle \frac{-42-6\sqrt{5}}{44}$
The text passage contains a mathematical expression and its step-by-step simplification, but it does not contain a question or an explicit answer to a question.
no_question
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
## Algebra 2 (1st Edition)

$\displaystyle \frac{-6}{7-\sqrt{5}}=\frac{-42-6\sqrt{5}}{44}$
$\displaystyle \frac{-6}{7-\sqrt{5}}\qquad$ ...rationalize the denominator by multiplying it with its conjugate, $7+\sqrt{5}$. $=\displaystyle \frac{-6}{7-\sqrt{5}}\cdot\frac{7+\sqrt{5}}{7+\sqrt{5}}\qquad$ ...simplify. $=\displaystyle \frac{-42-6\sqrt{5}}{49+7\sqrt{5}-7\sqrt{5}-5}\qquad$ ...simplify the denominator. $=\displaystyle \frac{-42-6\sqrt{5}}{44}$
user
The text passage contains a mathematical expression and its step-by-step simplification, but it does not contain a question or an explicit answer to a question.

TYPE: NO_QUESTION