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Popular >

simplify (-sqrt(2)i)^2

Solution

simplify

(- 2 i)^{2}

Solution

- 2

Solution steps

(- 2 i)^{2}

Apply exponent rule:

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

if

n

is even

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

= (2 i)^{2}

Apply exponent rule:

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

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

= (2)^{2} i^{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 (-sqrt(2)i)^2 ?
The solution to (-sqrt(2)i)^2 is -2