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

The solution to (3-sqrt(2))/(1+sqrt(2)) is -5+4sqrt(2)

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

simplify

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

- 5 + 42

Decimal Notation

0.65685 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(3 - 2) (1 - 2) : 5 - 42

Expand

(1 + 2) (1 - 2) : - 1

= \frac{5 - 4 2}{- 1}

\frac{5 - 4 2}{- 1} = - 5 + 42

= - 5 + 42

\frac{1}{2} x + \frac{1}{3} = \frac{5}{6}

\frac{x - 2}{4} - \frac{x + 5}{6} = \frac{5 x - 2}{9}

(\frac{- 8 x ^{3}}{y ^{- 6}})^{\frac{2}{3}}

(x - 5)^{2} = 1

- 3 \leq x \leq 2

What is (3-sqrt(2))/(1+sqrt(2)) ?
The solution to (3-sqrt(2))/(1+sqrt(2)) is -5+4sqrt(2)