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

3.29666 \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}

3 x + 2 = 8

- 2 x + 1 = \frac{2}{5}

a^{5} - 32

12 < - 4 x

ab - b c - a c + c^{2}

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