Question

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

Answer 1

$\text {You need to multiply by } \dfrac{ \sqrt{11} }{ \sqrt{11} }$

$\dfrac{2 \sqrt{10} }{3 \sqrt{11} } \times \dfrac{ \sqrt{11} }{ \sqrt{11} } = \dfrac{2 \sqrt{10} \sqrt{11} }{3 \times 11} = \dfrac{ 2\sqrt{110} }{33}$