What is 1/(sqrt(7)-\sqrt{5)} ?

The solution to 1/(sqrt(7)-\sqrt{5)} is (sqrt(7)+sqrt(5))/2

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simplify 1/(sqrt(7)-\sqrt{5)}

simplify

\frac{1}{7 - 5}

\frac{7 + 5}{2}

Decimal Notation

2.44090 \dots

Solution steps

\frac{1}{7 - 5}

Multiply by the conjugate

\frac{7 + 5}{7 + 5}

= \frac{1 \cdot ( 7 + 5 )}{( 7 - 5 ) ( 7 + 5 )}

1 \cdot (7 + 5) = 7 + 5

(7 - 5) (7 + 5) = 2

= \frac{7 + 5}{2}

(3 y)^{3}

\frac{8}{56}

π (6)^{2}

(6 - 2) (6 + 2)

\frac{\frac{x ^{2} + 5 x - 36}{x + 5}}{\frac{x ^{2} - 16}{x + 4}}

What is 1/(sqrt(7)-\sqrt{5)} ?
The solution to 1/(sqrt(7)-\sqrt{5)} is (sqrt(7)+sqrt(5))/2