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Popular >

simplify (sqrt(-4))^2

Solution

simplify

(- 4)^{2}

Solution

- 4

Solution steps

(- 4)^{2}

- 4 = 2 i

= (2 i)^{2}

Apply exponent rule:

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

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

= 2^{2} i^{2}

2^{2} = 4

= 4 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 4 (- 1)

Multiply the numbers:

4 (- 1) = - 4

= - 4

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Frequently Asked Questions (FAQ)

What is (sqrt(-4))^2 ?
The solution to (sqrt(-4))^2 is -4