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Popular >

simplify (-sqrt(23))^2

Solution

simplify

(- 23)^{2}

Solution

23

Solution steps

(- 23)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 23)^{2} = (23)^{2}

= (23)^{2}

Apply radical rule:

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

= (2 3^{\frac{1}{2}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 2 3^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

= 23

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Frequently Asked Questions (FAQ)

What is (-sqrt(23))^2 ?
The solution to (-sqrt(23))^2 is 23