What is (sqrt(7)-sqrt(2))/(sqrt(7)+\sqrt{2)} ?

The solution to (sqrt(7)-sqrt(2))/(sqrt(7)+\sqrt{2)} is (9-2sqrt(14))/5

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simplify (sqrt(7)-sqrt(2))/(sqrt(7)+\sqrt{2)}

simplify

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

\frac{9 - 2 14}{5}

Decimal Notation

0.30333 \dots

Solution steps

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

Multiply by the conjugate

\frac{7 - 2}{7 - 2}

= \frac{( 7 - 2 ) ( 7 - 2 )}{( 7 + 2 ) ( 7 - 2 )}

Expand

(7 - 2) (7 - 2) : 9 - 214

Expand

(7 + 2) (7 - 2) : 5

= \frac{9 - 2 14}{5}

2^{k} - 1 + 2^{k}

10 - 15 x + 2 = 10 x + 5 - 11 x

x^{4} + 9 x^{2} + 14

4 x - 1 \leq 9

\frac{32 y ^{5} z ^{3}}{8 y z ^{7}}

What is (sqrt(7)-sqrt(2))/(sqrt(7)+\sqrt{2)} ?
The solution to (sqrt(7)-sqrt(2))/(sqrt(7)+\sqrt{2)} is (9-2sqrt(14))/5