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Popular >

simplify (-5)^{1/2}

Solution

simplify

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

Solution

5 i

Solution steps

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

Apply radical rule:

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

(- 5)^{\frac{1}{2}} = - 5

= - 5

Apply radical rule:

- a = a - 1

- 5 = 5 - 1

= 5 - 1

Apply imaginary number rule:

- 1 = i

= 5 i

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Frequently Asked Questions (FAQ)

What is (-5)^{1/2} ?
The solution to (-5)^{1/2} is sqrt(5)i