What is (3sqrt(2)-2sqrt(3))/(3sqrt(2)+2\sqrt{3)} ?

The solution to (3sqrt(2)-2sqrt(3))/(3sqrt(2)+2\sqrt{3)} is 5-2sqrt(6)

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simplify (3sqrt(2)-2sqrt(3))/(3sqrt(2)+2\sqrt{3)}

simplify

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

5 - 26

Decimal Notation

0.10102 \dots

Solution steps

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

Factor out common term

2 : 2 (3 - 23)

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

Factor out common term

2 : 2 (3 + 23)

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

Cancel the common factor:

2

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

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

= \frac{3 - 6}{3 + 6}

Cancel

\frac{3 - 6}{3 + 6} : 5 - 26

= 5 - 26

\frac{x}{3} + \frac{1}{4} = 2

9 q - (q - 2) = 6 q + 2 (q + 1)

x^{3} + 9 x^{2} + 4 x + 36

i \cdot (- i)

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

What is (3sqrt(2)-2sqrt(3))/(3sqrt(2)+2\sqrt{3)} ?
The solution to (3sqrt(2)-2sqrt(3))/(3sqrt(2)+2\sqrt{3)} is 5-2sqrt(6)