What is (sqrt(6))/(5-sqrt(10)) ?

The solution to (sqrt(6))/(5-sqrt(10)) is (5sqrt(6)+2sqrt(15))/(15)

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simplify (sqrt(6))/(5-sqrt(10))

simplify

\frac{6}{5 - 10}

\frac{5 6 + 2 15}{15}

Decimal Notation

1.33289 \dots

Solution steps

\frac{6}{5 - 10}

Multiply by the conjugate

\frac{5 + 10}{5 + 10}

= \frac{6 ( 5 + 10 )}{( 5 - 10 ) ( 5 + 10 )}

Expand

6 (5 + 10) : 56 + 215

Expand

(5 - 10) (5 + 10) : 15

= \frac{5 6 + 2 15}{15}

5 p < - 25

15 - 2 x^{2} = 9

x^{2} - x + 4 = 0

580

0 \leq x \leq 5

What is (sqrt(6))/(5-sqrt(10)) ?
The solution to (sqrt(6))/(5-sqrt(10)) is (5sqrt(6)+2sqrt(15))/(15)