What is 1/(sqrt(5)+\sqrt{3)} ?

The solution to 1/(sqrt(5)+\sqrt{3)} is (sqrt(5)-sqrt(3))/2

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simplify 1/(sqrt(5)+\sqrt{3)}

simplify

\frac{1}{5 + 3}

\frac{5 - 3}{2}

Solution steps

\frac{1}{5 + 3}

Multiply by the conjugate

\frac{5 - 3}{5 - 3}

= \frac{1 \cdot ( 5 - 3 )}{( 5 + 3 ) ( 5 - 3 )}

1 \cdot (5 - 3) = 5 - 3

(5 + 3) (5 - 3) = 2

= \frac{5 - 3}{2}

(2 x^{2} - 3 x) (3 x^{2} + 2 x - 1)

\frac{1}{5} - \frac{1}{15}

\frac{x + 3}{3} - \frac{x - 2}{7}

\frac{x ^{3} - 3 x + 2}{x - 1}

u (3 t - 1)

What is 1/(sqrt(5)+\sqrt{3)} ?
The solution to 1/(sqrt(5)+\sqrt{3)} is (sqrt(5)-sqrt(3))/2