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Popular >

simplify (sqrt(-6))^2

Solution

simplify

(- 6)^{2}

Solution

- 6

Solution steps

(- 6)^{2}

- 6 = 6 i

= (6 i)^{2}

Apply exponent rule:

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

(6 i)^{2} = (6)^{2} i^{2}

= (6)^{2} i^{2}

(6)^{2} = 6

= 6 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 6 (- 1)

Multiply the numbers:

6 (- 1) = - 6

= - 6

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Frequently Asked Questions (FAQ)

What is (sqrt(-6))^2 ?
The solution to (sqrt(-6))^2 is -6