en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify |5-1/2 i|

Solution

simplify

5 - \frac{1}{2} i

Solution

\frac{101}{2}

+1

Decimal Notation

5.02493 \dots

Solution steps

5 - \frac{1}{2} i

Apply complex arithmetic rule:

∣ a + bi ∣ = a^{2} + b^{2}

5 - \frac{1}{2} i = 5^{2} + (- \frac{1}{2})^{2}

= 5^{2} + (- \frac{1}{2})^{2}

5^{2} = 25

= 25 + (- \frac{1}{2})^{2}

25 + (- \frac{1}{2})^{2} = \frac{101}{2}

= \frac{101}{2}

Popular Examples

factor x^2+x^8 factor

x^{2} + x^{8}

simplify (3-7i)/(2+6i)simplify

\frac{3 - 7 i}{2 + 6 i}

simplify 2*2^{k+1}simplify

2 \cdot 2^{k + 1}

expand (2x-1)(4x^2+3)expand

(2 x - 1) (4 x^{2} + 3)

factor x^3-2x^2-11x-6 factor

x^{3} - 2 x^{2} - 11 x - 6

Frequently Asked Questions (FAQ)

What is |5-1/2 i| ?
The solution to |5-1/2 i| is (sqrt(101))/2