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

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

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

simplify

\frac{5}{5 + 3}

\frac{5 5 - 5 3}{2}

Decimal Notation

1.26004 \dots

Solution steps

\frac{5}{5 + 3}

Multiply by the conjugate

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

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

Expand

5 (5 - 3) : 55 - 53

Expand

(5 + 3) (5 - 3) : 2

= \frac{5 5 - 5 3}{2}

\frac{1}{3} \div \frac{4}{5}

(6 x^{2} - 10 x y + 2) + (2 z - x y + 4)

(p^{2})^{3}

- 2 + t + 10 t

\frac{1}{3} - \frac{5}{2}

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