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Popular >

simplify |7-i|

Solution

simplify

∣ 7 - i ∣

Solution

52

+1

Decimal Notation

7.07106 \dots

Solution steps

∣ 7 - i ∣

Apply complex arithmetic rule:

∣ a + bi ∣ = a^{2} + b^{2}

∣ 7 - i ∣ = 7^{2} + (- 1)^{2}

= 7^{2} + (- 1)^{2}

7^{2} = 49

= 49 + (- 1)^{2}

49 + (- 1)^{2} = 52

= 52

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Frequently Asked Questions (FAQ)

What is |7-i| ?
The solution to |7-i| is 5sqrt(2)