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Popular >

simplify (sqrt(-25))^2

Solution

simplify

(- 25)^{2}

Solution

- 25

Solution steps

(- 25)^{2}

- 25 = 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} = 25

= 25 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 25 (- 1)

Multiply the numbers:

25 (- 1) = - 25

= - 25

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Frequently Asked Questions (FAQ)

What is (sqrt(-25))^2 ?
The solution to (sqrt(-25))^2 is -25