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Popular >

simplify |sqrt(3)+i|

Solution

simplify

3 + i

Solution

2

Solution steps

3 + i

Apply complex arithmetic rule:

∣ a + bi ∣ = a^{2} + b^{2}

3 + i = (3)^{2} + 1^{2}

= (3)^{2} + 1^{2}

1^{2} = 1

= (3)^{2} + 1

(3)^{2} + 1 = 2

= 2

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Frequently Asked Questions (FAQ)

What is |sqrt(3)+i| ?
The solution to |sqrt(3)+i| is 2