What is 4/(3sqrt(2)+1) ?

The solution to 4/(3sqrt(2)+1) is (12sqrt(2)-4)/(17)

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simplify 4/(3sqrt(2)+1)

simplify

\frac{4}{3 2 + 1}

\frac{12 2 - 4}{17}

Solution steps

\frac{4}{3 2 + 1}

Multiply by the conjugate

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

= \frac{4 ( 3 2 - 1 )}{( 3 2 + 1 ) ( 3 2 - 1 )}

Expand

4 (32 - 1) : 122 - 4

Expand

(32 + 1) (32 - 1) : 17

= \frac{12 2 - 4}{17}

(- 3 + h)^{2}

- 10 (a - 5)

\frac{3 27}{9 6}

\frac{- 24}{( - 6 )}

(x^{3})^{- 1}