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Popular >

simplify sqrt(\sqrt{i)}

Solution

simplify

i

Solution

Solution steps

i

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

= i^{\frac{1}{4}}

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{i)} ?
The solution to sqrt(\sqrt{i)} is \sqrt[4]{i}