What is (sqrt(3))/(sqrt(3)-1) ?

The solution to (sqrt(3))/(sqrt(3)-1) is (3+sqrt(3))/2

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simplify (sqrt(3))/(sqrt(3)-1)

simplify

\frac{3}{3 - 1}

\frac{3 + 3}{2}

Solution steps

\frac{3}{3 - 1}

Multiply by the conjugate

\frac{3 + 1}{3 + 1}

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

Expand

3 (3 + 1) : 3 + 3

Expand

(3 - 1) (3 + 1) : 2

= \frac{3 + 3}{2}

(2 n^{3})^{4}

\frac{3}{4 a b ^{3}} + \frac{c}{a ^{2} b}

(x + 1)^{2} + 4

(7 - \frac{1}{2} i) - (5 + \frac{3}{2} i)

\frac{2 sin ( x )}{sin ( x )}

What is (sqrt(3))/(sqrt(3)-1) ?
The solution to (sqrt(3))/(sqrt(3)-1) is (3+sqrt(3))/2