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Popular >

simplify (sqrt(-7))^2

Solution

simplify

(- 7)^{2}

Solution

- 7

Solution steps

(- 7)^{2}

- 7 = 7 i

= (7 i)^{2}

Apply exponent rule:

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

(7 i)^{2} = (7)^{2} i^{2}

= (7)^{2} i^{2}

(7)^{2} = 7

= 7 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 7 (- 1)

Multiply the numbers:

7 (- 1) = - 7

= - 7

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Frequently Asked Questions (FAQ)

What is (sqrt(-7))^2 ?
The solution to (sqrt(-7))^2 is -7