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

The solution to (2-sqrt(2))/(3+sqrt(2)) is (8-5sqrt(2))/7

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

simplify

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

\frac{8 - 5 2}{7}

Decimal Notation

0.13270 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(2 - 2) (3 - 2) : 8 - 52

Expand

(3 + 2) (3 - 2) : 7

= \frac{8 - 5 2}{7}

\frac{1}{cos ( x )} \cdot \frac{1}{cos ( x )}

sin^{3} (a) + sin (a) cos^{2} (a)

\frac{x ^{2} - 3 x - 40}{x ^{2} - 8 x}

\frac{2 10}{5}

(5 x y^{2} + 3 x^{2} - 7) + (3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4)

What is (2-sqrt(2))/(3+sqrt(2)) ?
The solution to (2-sqrt(2))/(3+sqrt(2)) is (8-5sqrt(2))/7