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Popular >

simplify (-5+sqrt(-25))^2

Solution

simplify

(- 5 + - 25)^{2}

Solution

- 50 i

Solution steps

(- 5 + - 25)^{2}

- 25 = 5 i

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

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = - 5, b = i 5

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

Simplify

(- 5)^{2} + 2 (- 5) i 5 + (i 5)^{2} : - 50 i

= - 50 i

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Frequently Asked Questions (FAQ)

What is (-5+sqrt(-25))^2 ?
The solution to (-5+sqrt(-25))^2 is -50i