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Popular >

simplify (-isqrt(2))^2

Solution

simplify

(- i 2)^{2}

Solution

- 2

Solution steps

(- i 2)^{2}

Apply exponent rule:

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

if

n

is even

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

= (i 2)^{2}

Apply exponent rule:

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

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

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

(2)^{2} = 2

= 2 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 2 (- 1)

Multiply the numbers:

2 (- 1) = - 2

= - 2

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Frequently Asked Questions (FAQ)

What is (-isqrt(2))^2 ?
The solution to (-isqrt(2))^2 is -2