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Popular >

simplify (-100)^{1/2}

Solution

simplify

(- 100)^{\frac{1}{2}}

Solution

10 i

Solution steps

(- 100)^{\frac{1}{2}}

Apply radical rule:

a^{\frac{1}{2}} = a

(- 100)^{\frac{1}{2}} = - 100

= - 100

Apply radical rule:

- a = a - 1

- 100 = 100 - 1

= 100 - 1

Apply imaginary number rule:

- 1 = i

= 100 i

100 = 10

= 10 i

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Frequently Asked Questions (FAQ)

What is (-100)^{1/2} ?
The solution to (-100)^{1/2} is 10i