Question

State whether the given statement is True or False.

After rationalising the denominator of $\frac{5}{3\sqrt{2}-2\sqrt{3}}$, we get its denominator as $7.$

• A. True
• B. False

Answer 1

The correct option is B False

The denominator of $\frac{5}{3\sqrt{2}-2\sqrt{3}}$ is $3\sqrt{2}-2\sqrt{3}$
Rationalising the denominator, we get
$(3\sqrt{2}-2\sqrt{3})(3\sqrt{2}+2\sqrt{3})$
$={\left(3\sqrt{2}\right)}^2-{\left(2\sqrt{3}\right)}^2$
$=18-12$
$=6$
So, the denominator is $6$.
Thus, answer is false.