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Question
\sqrt{8x^{y}}
Simplify the expression
2\sqrt{2}\times x^{\frac{1}{2}y}
Evaluate
\sqrt{8x^{y}}
Write the expression as a product where the root of one of the factors can be evaluated
\sqrt{4\times 2x^{y}}
\text{Write the number in exponential form with the base of }2
\sqrt{2^{2}\times 2x^{y}}
Rewrite the expression
\sqrt{2^{2}\left(x^{\frac{1}{2}y}\right)^{2}\times 2}
Calculate
2x^{\frac{1}{2}y}\sqrt{2}
Solution
2\sqrt{2}\times x^{\frac{1}{2}y}
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