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

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

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

simplify

\frac{3}{5 - 2}

15 + 23

Decimal Notation

7.33708 \dots

Solution steps

\frac{3}{5 - 2}

Multiply by the conjugate

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

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

Expand

3 (5 + 2) : 15 + 23

Expand

(5 - 2) (5 + 2) : 1

= \frac{15 + 2 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 15 + 23

\frac{192}{5}

- 4 (3 y + 2 x)

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

\frac{a x - a y - 2 b y + 2 b x}{a x + 2 b x + 2 b y + a y}

\frac{4}{b - 4} + \frac{b}{b - 4}

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