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

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

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

simplify

\frac{2}{3 - 2}

6 + 2

Decimal Notation

4.44948 \dots

Solution steps

\frac{2}{3 - 2}

Multiply by the conjugate

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

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

Expand

2 (3 + 2) : 6 + 2

Expand

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

= \frac{6 + 2}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 6 + 2

(- 7 - 3 i) (11 - 8 i)

1 - \frac{sin ^{2} ( x )}{1 + cos ( x )}

(x - 3)^{2} + 1

(5 - 7 i) - (7 + 2 i)

\frac{30}{9}

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