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Popular >

simplify (4/(sqrt(5)+1)+1)^2

Solution

simplify

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

Solution

5

Solution steps

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

\frac{4}{5 + 1} + 1 = 5

= (5)^{2}

Apply radical rule:

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

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

Apply exponent rule:

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

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

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

= 5

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Frequently Asked Questions (FAQ)

What is (4/(sqrt(5)+1)+1)^2 ?
The solution to (4/(sqrt(5)+1)+1)^2 is 5