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Popular >

simplify (sqrt(-15))^2

Solution

simplify

(- 15)^{2}

Solution

- 15

Solution steps

(- 15)^{2}

- 15 = 15 i

= (15 i)^{2}

Apply exponent rule:

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

(15 i)^{2} = (15)^{2} i^{2}

= (15)^{2} i^{2}

(15)^{2} = 15

= 15 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 15 (- 1)

Multiply the numbers:

15 (- 1) = - 15

= - 15

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Frequently Asked Questions (FAQ)

What is (sqrt(-15))^2 ?
The solution to (sqrt(-15))^2 is -15