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

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

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

simplify

\frac{2}{5 + 2}

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

Decimal Notation

0.54790 \dots

Solution steps

\frac{2}{5 + 2}

Multiply by the conjugate

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

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

Expand

2 (5 - 2) : 25 - 22

Expand

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

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

2 - 11

22 - 8

\frac{15}{16}

(w^{5})^{3}

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