What is 1/(sqrt(3)+\sqrt{2)} ?

The solution to 1/(sqrt(3)+\sqrt{2)} is sqrt(3)-sqrt(2)

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simplify 1/(sqrt(3)+\sqrt{2)}

simplify

\frac{1}{3 + 2}

3 - 2

Decimal Notation

0.31783 \dots

Solution steps

\frac{1}{3 + 2}

Multiply by the conjugate

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

= \frac{1 \cdot ( 3 - 2 )}{( 3 + 2 ) ( 3 - 2 )}

1 \cdot (3 - 2) = 3 - 2

(3 + 2) (3 - 2) = 1

= \frac{3 - 2}{1}

Apply rule

\frac{a}{1} = a

= 3 - 2

15 a^{2} - 6 ab - 8 a^{2} + 20 - 5 ab - 31 + a^{2} - ab

12 r^{2} - 27

- 4 x^{2} + 16 x - 15

x (3 x + 10) = 8

3 x - 1 > 2

What is 1/(sqrt(3)+\sqrt{2)} ?
The solution to 1/(sqrt(3)+\sqrt{2)} is sqrt(3)-sqrt(2)