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

The solution to (sqrt(3)-1)/(2+sqrt(3)) is 3sqrt(3)-5

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simplify (sqrt(3)-1)/(2+sqrt(3))

simplify

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

33 - 5

Decimal Notation

0.19615 \dots

Solution steps

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

Multiply by the conjugate

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

= \frac{( 3 - 1 ) ( 2 - 3 )}{( 2 + 3 ) ( 2 - 3 )}

Expand

(3 - 1) (2 - 3) : 33 - 5

Expand

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

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

Apply the fraction rule:

\frac{a}{1} = a

= 33 - 5

\frac{( 4 + x - 2 )}{x}

\frac{72}{- 6}

\frac{6 v ^{10}}{( 3 v ) ^{4}}

x + 1 - x - 8

1^{1} (ln (1) + 1)

What is (sqrt(3)-1)/(2+sqrt(3)) ?
The solution to (sqrt(3)-1)/(2+sqrt(3)) is 3sqrt(3)-5