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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

5 + 26

Decimal Notation

9.89897 \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

3 a - 96 a + 24 ab + 4 + 12 c + 3

- \frac{π}{2} + \frac{π}{2}

e^{5} = x

p + 4 \geq 0

50 x^{12} - 72 x^{2}

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)