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Popular >

simplify (\sqrt[4]{5y+1})^2

Solution

simplify

(4 5 y + 1)^{2}

Solution

5 y + 1

Solution steps

(4 5 y + 1)^{2}

Apply radical rule:

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

= ((5 y + 1)^{\frac{1}{4}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (5 y + 1)^{\frac{1}{4} \cdot 2}

\frac{1}{4} \cdot 2 = \frac{1}{2}

= (5 y + 1)^{\frac{1}{2}}

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

= 5 y + 1

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{5y+1})^2 ?
The solution to (\sqrt[4]{5y+1})^2 is sqrt(5y+1)