What is 4/(3sqrt(3)-2) ?

The solution to 4/(3sqrt(3)-2) is (12sqrt(3)+8)/(23)

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simplify 4/(3sqrt(3)-2)

simplify

\frac{4}{3 3 - 2}

\frac{12 3 + 8}{23}

Decimal Notation

1.25150 \dots

Solution steps

\frac{4}{3 3 - 2}

Multiply by the conjugate

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

= \frac{4 ( 3 3 + 2 )}{( 3 3 - 2 ) ( 3 3 + 2 )}

Expand

4 (33 + 2) : 123 + 8

Expand

(33 - 2) (33 + 2) : 23

= \frac{12 3 + 8}{23}

6 x^{2} + 4 x - 10

18 x^{2} + 9 x - 2

g - 10 = - 2

8 1^{\frac{1}{4}} + 4^{\frac{1}{2}}

\frac{13 π}{3} - 2 π