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Popular >

simplify 5/(2-i)

Solution

simplify

\frac{5}{2 - i}

Solution

2 + i

Solution steps

\frac{5}{2 - i}

Multiply by the conjugate

\frac{2 + i}{2 + i}

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

Simplify

\frac{5 ( 2 + i )}{( 2 - i ) ( 2 + i )} : \frac{10 + 5 i}{5}

= \frac{10 + 5 i}{5}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{10}{5} + \frac{5}{5} i

Simplify

\frac{10}{5} + \frac{5}{5} i : 2 + i

= 2 + i

Popular Examples

∣ 5 x + 9 ∣ = ∣ 9 x + 4 ∣

factor 120p^3n^2+24p^2n^2-40n^{2p}-8n factor

120 p^{3} n^{2} + 24 p^{2} n^{2} - 40 n^{2 p} - 8 n

simplify 8/(4-2)simplify

\frac{8}{4 - 2}

x - 8 < - 1

-13-(-8*4)+101-21*2

- 13 - (- 8 \cdot 4) + 101 - 21 \cdot 2

Frequently Asked Questions (FAQ)

What is 5/(2-i) ?
The solution to 5/(2-i) is 2+i