What is 3/(6-sqrt(2)) ?

The solution to 3/(6-sqrt(2)) is (18+3sqrt(2))/(34)

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simplify 3/(6-sqrt(2))

simplify

\frac{3}{6 - 2}

\frac{18 + 3 2}{34}

Decimal Notation

0.65419 \dots

Solution steps

\frac{3}{6 - 2}

Multiply by the conjugate

\frac{6 + 2}{6 + 2}

= \frac{3 ( 6 + 2 )}{( 6 - 2 ) ( 6 + 2 )}

Expand

3 (6 + 2) : 18 + 32

Expand

(6 - 2) (6 + 2) : 34

= \frac{18 + 3 2}{34}

6 \frac{1}{4} \times 6 \frac{4}{5}

7 x \times 9 x y

1 - \frac{x}{x + 1}

x^{2} + 5 x + 3 x + 15