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Popular >

simplify (sqrt(-21))^2

Solution

simplify

(- 21)^{2}

Solution

- 21

Solution steps

(- 21)^{2}

- 21 = 21 i

= (21 i)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(21 i)^{2} = (21)^{2} i^{2}

= (21)^{2} i^{2}

(21)^{2} = 21

= 21 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 21 (- 1)

Multiply the numbers:

21 (- 1) = - 21

= - 21

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Frequently Asked Questions (FAQ)

What is (sqrt(-21))^2 ?
The solution to (sqrt(-21))^2 is -21