What is 1/(sqrt(2)-\sqrt{5)} ?

The solution to 1/(sqrt(2)-\sqrt{5)} is -(sqrt(2)+sqrt(5))/3

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simplify 1/(sqrt(2)-\sqrt{5)}

simplify

\frac{1}{2 - 5}

- \frac{2 + 5}{3}

Decimal Notation

- 1.21676 \dots

Solution steps

\frac{1}{2 - 5}

Multiply by the conjugate

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

= \frac{1 \cdot ( 2 + 5 )}{( 2 - 5 ) ( 2 + 5 )}

1 \cdot (2 + 5) = 2 + 5

(2 - 5) (2 + 5) = - 3

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

Apply the fraction rule:

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

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

t^{2} + 7 t - 18

\frac{tan ( θ )}{sec ( θ )}

18 - (- 6)

- 8 \times (- 6)

\frac{2}{2 - 3}

What is 1/(sqrt(2)-\sqrt{5)} ?
The solution to 1/(sqrt(2)-\sqrt{5)} is -(sqrt(2)+sqrt(5))/3