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

The solution to (2sqrt(2)+sqrt(3))/(3sqrt(2)-2\sqrt{3)} is (18+7sqrt(6))/6

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

simplify

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

\frac{18 + 7 6}{6}

Decimal Notation

5.85773 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(22 + 3) (32 + 23) : 18 + 76

Expand

(32 - 23) (32 + 23) : 6

= \frac{18 + 7 6}{6}

\frac{3 x ^{4} - 4 x ^{3} - 5 x ^{2} + 2 x}{x - 2}

\frac{cot ( x )}{tan ( x )}

1859640 \cdot \frac{77.1}{100}

\frac{1 - sin ( x )}{cos ( x )}

4^{\frac{1}{2}} + 4^{2} + 3^{2}

What is (2sqrt(2)+sqrt(3))/(3sqrt(2)-2\sqrt{3)} ?
The solution to (2sqrt(2)+sqrt(3))/(3sqrt(2)-2\sqrt{3)} is (18+7sqrt(6))/6