What is 8/(sqrt(2)+\sqrt{5)} ?

The solution to 8/(sqrt(2)+\sqrt{5)} is -(8sqrt(2)-8sqrt(5))/3

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simplify 8/(sqrt(2)+\sqrt{5)}

simplify

\frac{8}{2 + 5}

- \frac{8 2 - 8 5}{3}

Decimal Notation

2.19161 \dots

Solution steps

\frac{8}{2 + 5}

Multiply by the conjugate

\frac{2 - 5}{2 - 5}

= \frac{8 ( 2 - 5 )}{( 2 + 5 ) ( 2 - 5 )}

Expand

8 (2 - 5) : 82 - 85

Expand

(2 + 5) (2 - 5) : - 3

= \frac{8 2 - 8 5}{- 3}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{8 2 - 8 5}{3}

240

\frac{6}{7} \cdot \frac{7}{8} \cdot \frac{8}{9}

11 x^{3} \cdot 7 x^{\frac{7}{3}}

(6 \frac{x ^{3}}{y ^{2}}) (3 y z^{3}) (2 x)

- 4 + x \leq 9

What is 8/(sqrt(2)+\sqrt{5)} ?
The solution to 8/(sqrt(2)+\sqrt{5)} is -(8sqrt(2)-8sqrt(5))/3