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Popular >

simplify sqrt(i)^2

Solution

simplify

i^{2}

Solution

i

Solution steps

(i)^{2}

Apply radical rule:

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

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

Apply exponent rule:

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

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

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

= i

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Frequently Asked Questions (FAQ)

What is sqrt(i)^2 ?
The solution to sqrt(i)^2 is i