What is 3/(sqrt(7)-\sqrt{2)} ?

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

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simplify 3/(sqrt(7)-\sqrt{2)}

simplify

\frac{3}{7 - 2}

\frac{3 7 + 3 2}{5}

Decimal Notation

2.43597 \dots

Solution steps

\frac{3}{7 - 2}

Multiply by the conjugate

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

= \frac{3 ( 7 + 2 )}{( 7 - 2 ) ( 7 + 2 )}

Expand

3 (7 + 2) : 37 + 32

Expand

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

= \frac{3 7 + 3 2}{5}

1 - z^{- 1}

\frac{1}{6} \cdot 5

\frac{9 x ^{2} + 9 x}{2 x + 2}

5 \cdot 5

1 - (1 - x)^{2}

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