valtricotinevh

2022-07-14

Struggling to simplify ${w}^{3/2}\sqrt{32}-{w}^{3/2}\sqrt{50}$ to $-w\sqrt{2w}$

Urijah Hahn

Your approach is absolutely right. But note that
$\begin{array}{rl}\sqrt{{w}^{3}}4\sqrt{2}-\sqrt{{w}^{3}}5\sqrt{2}& =\sqrt{{w}^{3}}\left(4\sqrt{2}-5\sqrt{2}\right)\\ & =-\sqrt{{w}^{3}}\sqrt{2}=-w\sqrt{2w}.\end{array}$

Do you have a similar question?
The text passage contains a mathematical question about simplifying an expression and provides a step-by-step answer to the question.
single_question_with_answer
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
valtricotinevh

2022-07-14

Struggling to simplify ${w}^{3/2}\sqrt{32}-{w}^{3/2}\sqrt{50}$ to $-w\sqrt{2w}$

Urijah Hahn

Your approach is absolutely right. But note that
$\begin{array}{rl}\sqrt{{w}^{3}}4\sqrt{2}-\sqrt{{w}^{3}}5\sqrt{2}& =\sqrt{{w}^{3}}\left(4\sqrt{2}-5\sqrt{2}\right)\\ & =-\sqrt{{w}^{3}}\sqrt{2}=-w\sqrt{2w}.\end{array}$

Do you have a similar question?
user
The text passage contains a mathematical question about simplifying an expression and provides a step-by-step answer to the question.

TYPE: SINGLE_QUESTION_WITH_ANSWER