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

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

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

simplify

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

\frac{7 - 2 10}{3}

Solution steps

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

Multiply by the conjugate

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

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

Expand

(5 - 2) (5 - 2) : 7 - 210

Expand

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

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

3 a^{3} b + 15 a^{2} b^{2} + 18 a b^{3}

9 ∣ x + 1 ∣ + 3 > 1

- \frac{1}{4} (6 + 8)

(6 c + 4) - (c + 2)

49 q^{4} - 4

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