What is (sqrt(15))/(sqrt(10)-3) ?

The solution to (sqrt(15))/(sqrt(10)-3) is 5sqrt(6)+3sqrt(15)

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simplify (sqrt(15))/(sqrt(10)-3)

simplify

\frac{15}{10 - 3}

56 + 315

Decimal Notation

23.86639 \dots

Solution steps

\frac{15}{10 - 3}

Multiply by the conjugate

\frac{10 + 3}{10 + 3}

= \frac{15 ( 10 + 3 )}{( 10 - 3 ) ( 10 + 3 )}

Expand

15 (10 + 3) : 56 + 315

Expand

(10 - 3) (10 + 3) : 1

= \frac{5 6 + 3 15}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 56 + 315

\frac{4 + 8}{5 - 3}

3 (\frac{x + 1}{x - 1})

- (a + h)^{3}

e^{l n (l n (e^{3}))}

3 b^{3} (b^{3} c) (- 3 b c^{2})^{2}

What is (sqrt(15))/(sqrt(10)-3) ?
The solution to (sqrt(15))/(sqrt(10)-3) is 5sqrt(6)+3sqrt(15)