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Popular >

simplify \sqrt[3]{sqrt(125y^6)}

Solution

simplify

Solution

y 5

Solution steps

Simplify

125 y^{6} : 55 y^{3}

Apply radical rule:

if

n

is odd

Apply radical rule:

Apply radical rule:

= 5^{\frac{1}{3}} \cdot 5^{\frac{1}{6}} y

5^{\frac{1}{3}} \cdot 5^{\frac{1}{6}} = 5^{\frac{1}{2}}

= 5^{\frac{1}{2}} y

Apply exponent rule:

a^{\frac{1}{2}} = a

5^{\frac{1}{2}} = 5

= 5 y

= y 5

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{sqrt(125y^6)} ?
The solution to \sqrt[3]{sqrt(125y^6)} is ysqrt(5)