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

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

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Popular >

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

simplify

\frac{3}{5 + 3}

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

Decimal Notation

0.75602 \dots

Solution steps

\frac{3}{5 + 3}

Multiply by the conjugate

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

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

Expand

3 (5 - 3) : 35 - 33

Expand

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

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

\frac{33}{72}

\frac{1}{x - 1}

- 2 w + w + 7 w

x \cdot \frac{1}{x ^{2}}

11 - 218 + 2

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