What is expand (2sqrt(5))/(3-sqrt(5)) ?

The solution to expand (2sqrt(5))/(3-sqrt(5)) is (3sqrt(5))/2+5/2

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expand (2sqrt(5))/(3-sqrt(5))

expand

\frac{2 5}{3 - 5}

\frac{3 5}{2} + \frac{5}{2}

Decimal Notation

5.85410 \dots

Solution steps

\frac{2 5}{3 - 5}

Rationalize

\frac{2 5}{3 - 5} : \frac{3 5 + 5}{2}

= \frac{3 5 + 5}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{3 5 + 5}{2} = \frac{3 5}{2} + \frac{5}{2}

= \frac{3 5}{2} + \frac{5}{2}

\frac{10 ( Ks + X )}{s ^{3} + 11 s ^{2} + 10 s + 10 Ks + 10 X}

(f \circ g) (3 x + 7)

\frac{x + 1}{2 x} + \frac{2 x + 3}{3 x}

- \frac{8}{n ^{3}} [\frac{n ( n + 1 ) ( 2 n + 1 )}{4}]

x^{4} + (x^{5} + 2) \frac{d y}{d x}

What is expand (2sqrt(5))/(3-sqrt(5)) ?
The solution to expand (2sqrt(5))/(3-sqrt(5)) is (3sqrt(5))/2+5/2