What is (sqrt(5))/(sqrt(3)-\sqrt{2)} ?

The solution to (sqrt(5))/(sqrt(3)-\sqrt{2)} is sqrt(15)+sqrt(10)

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simplify (sqrt(5))/(sqrt(3)-\sqrt{2)}

simplify

\frac{5}{3 - 2}

15 + 10

Decimal Notation

7.03526 \dots

Solution steps

\frac{5}{3 - 2}

Multiply by the conjugate

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

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

Expand

5 (3 + 2) : 15 + 10

Expand

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

= \frac{15 + 10}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 15 + 10

\frac{1}{2} \times 24

(w^{6})^{2}

- 2 x + 12

- 2 x - 6 x

- 2 x + 6 x

What is (sqrt(5))/(sqrt(3)-\sqrt{2)} ?
The solution to (sqrt(5))/(sqrt(3)-\sqrt{2)} is sqrt(15)+sqrt(10)