What is (10)/(2sqrt(3)-\sqrt{2)} ?

The solution to (10)/(2sqrt(3)-\sqrt{2)} is 2sqrt(3)+sqrt(2)

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simplify (10)/(2sqrt(3)-\sqrt{2)}

simplify

\frac{10}{2 3 - 2}

23 + 2

Decimal Notation

4.87831 \dots

Solution steps

\frac{10}{2 3 - 2}

Multiply by the conjugate

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

= \frac{10 ( 2 3 + 2 )}{( 2 3 - 2 ) ( 2 3 + 2 )}

Expand

10 (23 + 2) : 203 + 102

Expand

(23 - 2) (23 + 2) : 10

= \frac{20 3 + 10 2}{10}

Factor out common term

10 : 10 (23 + 2)

= \frac{10 ( 2 3 + 2 )}{10}

Cancel the common factor:

10

= 23 + 2

\frac{2 x ^{2} + 9 x - 5}{x + 5}

t^{3} + t^{2} - 2

\frac{n ^{\frac{1}{2}}}{n}

1 + v^{3}

1 + \frac{x}{2}

What is (10)/(2sqrt(3)-\sqrt{2)} ?
The solution to (10)/(2sqrt(3)-\sqrt{2)} is 2sqrt(3)+sqrt(2)