What is 9/(sqrt(5)+\sqrt{3)} ?

The solution to 9/(sqrt(5)+\sqrt{3)} is (9sqrt(5)-9sqrt(3))/2

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simplify 9/(sqrt(5)+\sqrt{3)}

simplify

\frac{9}{5 + 3}

\frac{9 5 - 9 3}{2}

Decimal Notation

2.26807 \dots

Solution steps

\frac{9}{5 + 3}

Multiply by the conjugate

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

= \frac{9 ( 5 - 3 )}{( 5 + 3 ) ( 5 - 3 )}

Expand

9 (5 - 3) : 95 - 93

Expand

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

= \frac{9 5 - 9 3}{2}

\frac{5 i}{2 - 4 i}

x^{4} - x^{6}

(- 123) + (- 21)

6 x^{3} - 9 x^{2} - 18 x + 27

sec^{6} (x) - tan^{6} (x)

What is 9/(sqrt(5)+\sqrt{3)} ?
The solution to 9/(sqrt(5)+\sqrt{3)} is (9sqrt(5)-9sqrt(3))/2