QuestionAugust 25, 2025

Question Simplify completely,assuming both xgt 0 and ygt 0:sqrt (36x^3y^9) Provide your answer below:

Question Simplify completely,assuming both xgt 0 and ygt 0:sqrt (36x^3y^9) Provide your answer below:
Question
Simplify completely,assuming both xgt 0 and ygt 0:sqrt (36x^3y^9)
Provide your answer below:

Solution
4.1(361 votes)

Answer

6x^{3/2}y^{9/2} Explanation 1. Simplify the square root Break down \sqrt{36x^3y^9} into \sqrt{36} \cdot \sqrt{x^3} \cdot \sqrt{y^9}. 2. Calculate individual square roots \sqrt{36} = 6, \sqrt{x^3} = x^{3/2}, and \sqrt{y^9} = y^{9/2}. 3. Combine results Multiply the simplified terms: 6 \cdot x^{3/2} \cdot y^{9/2}.

Explanation

1. Simplify the square root<br /> Break down $\sqrt{36x^3y^9}$ into $\sqrt{36} \cdot \sqrt{x^3} \cdot \sqrt{y^9}$.<br />2. Calculate individual square roots<br /> $\sqrt{36} = 6$, $\sqrt{x^3} = x^{3/2}$, and $\sqrt{y^9} = y^{9/2}$.<br />3. Combine results<br /> Multiply the simplified terms: $6 \cdot x^{3/2} \cdot y^{9/2}$.
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