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

The solution to (sqrt(2)+sqrt(5))/(sqrt(2)-\sqrt{5)} is -(7+2sqrt(10))/3

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

simplify

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

- \frac{7 + 2 10}{3}

Decimal Notation

- 4.44151 \dots

Solution steps

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

Multiply by the conjugate

\frac{2 + 5}{2 + 5}

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

Expand

(2 + 5) (2 + 5) : 7 + 210

Expand

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

= \frac{7 + 2 10}{- 3}

Apply the fraction rule:

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

= - \frac{7 + 2 10}{3}

2 = x - 16

b + 2 \leq 6

∣ x + 5 ∣ > - 1

4 > \frac{p}{8}

(\frac{3 x - 7}{3})^{2}

What is (sqrt(2)+sqrt(5))/(sqrt(2)-\sqrt{5)} ?
The solution to (sqrt(2)+sqrt(5))/(sqrt(2)-\sqrt{5)} is -(7+2sqrt(10))/3