Question

$Rationalise:\frac{1}{\sqrt{3}-2\sqrt{11}}$

• A. $\frac{\sqrt{3}+2\sqrt{11}}{-41}$
• B. $\frac{\sqrt{3}+2\sqrt{11}}{41}$
• C. $\frac{\sqrt{3}+2\sqrt{11}}{-43}$
• D. $\frac{\sqrt{3}+2\sqrt{11}}{43}$

Answer 1

The correct option is A

$\frac{\sqrt{3}+2\sqrt{11}}{-41}$

$\frac{1}{\sqrt{3}-2\sqrt{11}}$ -----(1)

Rationalising factor = $\sqrt{3}+2\sqrt{11}$ ------(2)

Multiply and divide the equation (1) with equation (2)

$\frac{1}{\sqrt{3}-2\sqrt{11}}=\frac{1}{\sqrt{3}-2\sqrt{11}}\times \frac{\sqrt{3}+2\sqrt{11}}{\sqrt{3}+2\sqrt{11}}=\frac{\sqrt{3}+2\sqrt{11}}{-41}$