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

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

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

simplify

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

5 - 26

Decimal Notation

0.10102 \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) : 5 - 26

Expand

(3 + 2) (3 - 2) : 1

= \frac{5 - 2 6}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 5 - 26

\frac{x ^{2} - 7 x + 12}{4 x - x ^{2}}

- 6 - (- 7)

\frac{8 d - 3}{9} + \frac{4 d + 12}{9}

\frac{8}{25} + \frac{12}{45}

(2 x - 1) (x - 5)

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