Question

2./10

To rationalize the denominator of
311
you should multiply the expression by which fraction?

Answer 1

Complete Question:

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

Answer:

Multiply by
`(√(11))/(√(11))`

Explanation:

Given

`(2√(10))/(3√(11))`

Required

To rationalize

To do this, we simply multiply the expression by the fraction of
`(√(11))/(√(11))`

This gives:

`(2√(10))/(3√(11)) * (√(11))/(√(11))`

`(2√(10 * 11))/(3√(11 * 11))`

`(2√(110))/(3√(121))`

Express
`\sqrt{121` as 11

`(2√(110))/(3*11)`

`(2√(110))/(33)`

Hence:

`(2√(10))/(3√(11))` =
`(2√(110))/(33)`