What is 4/(sqrt(5)+\sqrt{2)} ?

The solution to 4/(sqrt(5)+\sqrt{2)} is (4sqrt(5)-4sqrt(2))/3

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simplify 4/(sqrt(5)+\sqrt{2)}

simplify

\frac{4}{5 + 2}

\frac{4 5 - 4 2}{3}

Solution steps

\frac{4}{5 + 2}

Multiply by the conjugate

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

= \frac{4 ( 5 - 2 )}{( 5 + 2 ) ( 5 - 2 )}

Expand

4 (5 - 2) : 45 - 42

Expand

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

= \frac{4 5 - 4 2}{3}

\frac{5}{6} \div \frac{3}{10}

\frac{7}{( - \frac{1}{x} ) ^{2} - 2}

(3 n + 2)^{2}

\frac{225}{360}

- 5 x^{2} + 65 x + 150

What is 4/(sqrt(5)+\sqrt{2)} ?
The solution to 4/(sqrt(5)+\sqrt{2)} is (4sqrt(5)-4sqrt(2))/3