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Popular >

simplify sqrt(\sqrt{-25)}

Solution

simplify

- 25

Solution

Solution steps

- 25

Apply radical rule:

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

= ((- 25)^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

= (- 25)^{\frac{1}{2} \cdot \frac{1}{2}}

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

= (- 25)^{\frac{1}{4}}

Apply radical rule:

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{-25)} ?
The solution to sqrt(\sqrt{-25)} is \sqrt[4]{-1}sqrt(5)