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

The solution to (sqrt(3))/(5-sqrt(2)) is (5sqrt(3)+sqrt(6))/(23)

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

simplify

\frac{3}{5 - 2}

\frac{5 3 + 6}{23}

Decimal Notation

0.48303 \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) : 53 + 6

Expand

(5 - 2) (5 + 2) : 23

= \frac{5 3 + 6}{23}

2 x^{2} + 128 = 0

- 5 (- 3 x + 1) = - 45

\frac{u ^{5 x + 1}}{u ^{x}}

v^{2} + 4 v + 4

x^{2} + 25 < 0

What is (sqrt(3))/(5-sqrt(2)) ?
The solution to (sqrt(3))/(5-sqrt(2)) is (5sqrt(3)+sqrt(6))/(23)