What is 5/(sqrt(7)-\sqrt{2)} ?

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

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simplify 5/(sqrt(7)-\sqrt{2)}

simplify

\frac{5}{7 - 2}

7 + 2

Decimal Notation

4.05996 \dots

Solution steps

\frac{5}{7 - 2}

Multiply by the conjugate

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

= \frac{5 ( 7 + 2 )}{( 7 - 2 ) ( 7 + 2 )}

Expand

5 (7 + 2) : 57 + 52

Expand

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

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

Factor out common term

5

= \frac{5 ( 7 + 2 )}{5}

Cancel the common factor:

5

= 7 + 2

lo g_{\frac{1}{3}} (4)

2 \times 6

\frac{x ^{2} - x - 30}{5 x + 40} \cdot \frac{3 x + 6}{x ^{2} + 7 x + 10}

\frac{2}{5} \times \frac{1}{4}

(m + 6) (m - 6)

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