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

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

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

simplify

\frac{3}{3 + 2}

33 - 32

Solution steps

\frac{3}{3 + 2}

Multiply by the conjugate

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

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

Expand

3 (3 - 2) : 33 - 32

Expand

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

= \frac{3 3 - 3 2}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 33 - 32

2 (m + 2 n)

\frac{2}{( - \frac{5}{x} ) ^{2} - 7}

lo g_{4} (\frac{16}{64})

\frac{4 - x}{x - 4}

2 \frac{1}{3} - 1 \frac{1}{4}

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