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

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

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

simplify

\frac{2}{( 3 + 1 ) ^{2}}

\frac{1}{2 + 3}

Decimal Notation

0.26794 \dots

Solution steps

\frac{2}{( 3 + 1 ) ^{2}}

Expand

(3 + 1)^{2} : 4 + 23

= \frac{2}{4 + 2 3}

Factor out common term

2 : 2 (2 + 3)

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

Cancel the common factor:

2

= \frac{1}{2 + 3}

- x^{3} - 3 x^{2}

\frac{10 m ^{3} n ^{4} - 15 mn}{5 mn}

\frac{75}{49}

3 t^{2} + 12 t - 15

- \frac{1}{6} + 2