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

The solution to 3/(4+sqrt(2)) is (12-3sqrt(2))/(14)

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Popular >

simplify 3/(4+sqrt(2))

simplify

\frac{3}{4 + 2}

\frac{12 - 3 2}{14}

Decimal Notation

0.55409 \dots

Solution steps

\frac{3}{4 + 2}

Multiply by the conjugate

\frac{4 - 2}{4 - 2}

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

Expand

3 (4 - 2) : 12 - 32

Expand

(4 + 2) (4 - 2) : 14

= \frac{12 - 3 2}{14}

6 \cdot 1 0^{9}

\frac{120}{2}

3 b^{4} - 9 b^{2}

(1 - 9 i)^{2}

\frac{9 - t}{3 - t}