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Popular >

simplify |1+i|^2

Solution

simplify

∣ 1 + i ∣^{2}

Solution

2

Solution steps

∣ 1 + i ∣^{2}

Simplify

∣ 1 + i ∣ : 2

= (2)^{2}

Apply radical rule:

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

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

Apply exponent rule:

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

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

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

= 2

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Frequently Asked Questions (FAQ)

What is |1+i|^2 ?
The solution to |1+i|^2 is 2