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

The solution to (3+sqrt(2))/(3-sqrt(2)) is (11+6sqrt(2))/7

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

simplify

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

\frac{11 + 6 2}{7}

Decimal Notation

2.78361 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(3 + 2) (3 + 2) : 11 + 62

Expand

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

= \frac{11 + 6 2}{7}

lo g_{4} (84)

lo g_{4} (21)

- 4 - 16

r^{2} + 6 r + 9

\frac{2 h}{h}

What is (3+sqrt(2))/(3-sqrt(2)) ?
The solution to (3+sqrt(2))/(3-sqrt(2)) is (11+6sqrt(2))/7