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Popular >

simplify 3/(sqrt(3)-1)

Solution

simplify

\frac{3}{3 - 1}

Solution

\frac{3 3 + 3}{2}

+1

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) : 33 + 3

Expand

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

= \frac{3 3 + 3}{2}

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Frequently Asked Questions (FAQ)

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