What is (sqrt(11)+sqrt(2))/(sqrt(11)-\sqrt{2)} ?

The solution to (sqrt(11)+sqrt(2))/(sqrt(11)-\sqrt{2)} is (13+2sqrt(22))/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(11)+sqrt(2))/(sqrt(11)-\sqrt{2)}

simplify

\frac{11 + 2}{11 - 2}

\frac{13 + 2 22}{9}

Decimal

2.48675 \dots

Solution steps

\frac{11 + 2}{11 - 2}

Multiply by the conjugate

\frac{11 + 2}{11 + 2}

= \frac{( 11 + 2 ) ( 11 + 2 )}{( 11 - 2 ) ( 11 + 2 )}

Expand

(11 + 2) (11 + 2) : 13 + 222

Expand

(11 - 2) (11 + 2) : 9

= \frac{13 + 2 22}{9}

(x - 1) (x - 2) (x - 3) (x - 4) (x - 5) + 1

\frac{tan ( θ )}{sin ( θ )}

sec (x) - sin (x) tan (x)

- 2 (3 a^{2} + a - 2 b) + 9 (a + 4 b) + 6 a^{2}

cos^{3} (x) + sin^{2} (x) cos (x)

What is (sqrt(11)+sqrt(2))/(sqrt(11)-\sqrt{2)} ?
The solution to (sqrt(11)+sqrt(2))/(sqrt(11)-\sqrt{2)} is (13+2sqrt(22))/9