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Popular >

simplify (sqrt(-9))^2

Solution

simplify

(- 9)^{2}

Solution

- 9

Solution steps

(- 9)^{2}

- 9 = 3 i

= (3 i)^{2}

Apply exponent rule:

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

(3 i)^{2} = 3^{2} i^{2}

= 3^{2} i^{2}

3^{2} = 9

= 9 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 9 (- 1)

Multiply the numbers:

9 (- 1) = - 9

= - 9

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Frequently Asked Questions (FAQ)

What is (sqrt(-9))^2 ?
The solution to (sqrt(-9))^2 is -9