What is (5sqrt(2)-6sqrt(3))/(4sqrt(2)-3\sqrt{3)} ?

The solution to (5sqrt(2)-6sqrt(3))/(4sqrt(2)-3\sqrt{3)} is (-14-9sqrt(6))/5

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simplify (5sqrt(2)-6sqrt(3))/(4sqrt(2)-3\sqrt{3)}

simplify

\frac{5 2 - 6 3}{4 2 - 3 3}

\frac{- 14 - 9 6}{5}

Decimal Notation

- 7.20908 \dots

Solution steps

\frac{5 2 - 6 3}{4 2 - 3 3}

Multiply by the conjugate

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

= \frac{( 5 2 - 6 3 ) ( 4 2 + 3 3 )}{( 4 2 - 3 3 ) ( 4 2 + 3 3 )}

Expand

(52 - 63) (42 + 33) : - 14 - 96

Expand

(42 - 33) (42 + 33) : 5

= \frac{- 14 - 9 6}{5}

n^{2} - 2 n + 1 = 0

\frac{\frac{1}{a} + \frac{1}{b}}{\frac{1}{a} - \frac{1}{b}}

8 x - 6 = 2 [x + 3 (x - 1)]

\frac{2}{7} x + 4 = 5

What is (5sqrt(2)-6sqrt(3))/(4sqrt(2)-3\sqrt{3)} ?
The solution to (5sqrt(2)-6sqrt(3))/(4sqrt(2)-3\sqrt{3)} is (-14-9sqrt(6))/5