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Popular >

simplify |(1+i)^5|

Solution

simplify

(1 + i)^{5}

Solution

42

+1

Decimal Notation

5.65685 \dots

Solution steps

(1 + i)^{5}

Expand

(1 + i)^{5} : - 4 i - 4

= ∣ - 4 i - 4 ∣

Rewrite

- 4 i - 4

in standard complex form:

- 4 - 4 i

= ∣ - 4 - 4 i ∣

Apply complex arithmetic rule:

∣ a + bi ∣ = a^{2} + b^{2}

∣ - 4 - 4 i ∣ = (- 4)^{2} + (- 4)^{2}

= (- 4)^{2} + (- 4)^{2}

(- 4)^{2} + (- 4)^{2} = 42

= 42

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Frequently Asked Questions (FAQ)

What is |(1+i)^5| ?
The solution to |(1+i)^5| is 4sqrt(2)