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Simplify. All variables represent nonnegative numbers.

sqrt(x^4,y^2)

Simplify. All variables represent nonnegative numbers. sqrt(x^4,y^2)-example-1
User Qubz
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1 Answer

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Answer:


\displaystyle{√(x^4y^2) = x^2y}

Explanation:

We can expand into multiplication:


\displaystyle{√(x^4 y^2) = √(x \cdot x \cdot x \cdot x \cdot y \cdot y)}

Since it's radical, we take off two terms and make it as one outside. There are four x's; take two x's and make them one. There are two y's; take two out and make them one. Therefore:


\displaystyle{√(x \cdot x \cdot x \cdot x \cdot y \cdot y ) = x\cdot x \cdot y}

Simplify further, therefore:


\displaystyle{√(x \cdot x \cdot x \cdot x \cdot y \cdot y ) =x^2y}

Hence:


\displaystyle{√(x^4y^2) = x^2y}

User Paho
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