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Popular >

simplify sqrt(-5)^2

Solution

simplify

- 5^{2}

Solution

- 5

Solution steps

(- 5)^{2}

- 5 = 5 i

= (5 i)^{2}

Apply exponent rule:

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

(5 i)^{2} = (5)^{2} i^{2}

= (5)^{2} i^{2}

(5)^{2} = 5

= 5 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 5 (- 1)

Multiply the numbers:

5 (- 1) = - 5

= - 5

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Frequently Asked Questions (FAQ)

What is sqrt(-5)^2 ?
The solution to sqrt(-5)^2 is -5