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Popular >

simplify (sqrt(2i))^2

Solution

simplify

(2 i)^{2}

Solution

2 i

Solution steps

(2 i)^{2}

2 i = 2 i

= (2 i)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= (2)^{2} (i)^{2}

(2)^{2} : 2

= 2 (i)^{2}

(i)^{2} : i

= 2 i

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Frequently Asked Questions (FAQ)

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