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

The solution to (sqrt(5))/(2-sqrt(3)) is 2sqrt(5)+sqrt(15)

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

simplify

\frac{5}{2 - 3}

25 + 15

Decimal Notation

8.34511 \dots

Solution steps

\frac{5}{2 - 3}

Multiply by the conjugate

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

= \frac{5 ( 2 + 3 )}{( 2 - 3 ) ( 2 + 3 )}

Expand

5 (2 + 3) : 25 + 15

Expand

(2 - 3) (2 + 3) : 1

= \frac{2 5 + 15}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 25 + 15

\frac{4 i}{2 - i}

\frac{x ^{2}}{1 - x ^{2}}

- 36 + - 25

\frac{3 x - 1}{x ^{2}} + \frac{x - 9}{3 x}

\frac{2}{7} - \frac{1}{8}

What is (sqrt(5))/(2-sqrt(3)) ?
The solution to (sqrt(5))/(2-sqrt(3)) is 2sqrt(5)+sqrt(15)