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

This is the concept of surds, we are required to rationalize the denominator of the (2sqrt10) / (3sqrt11)

torationalize the denominator we proceed as follows;

(2sqrt10) / (3sqrt11)

multiplying both the numerator and the denominator by 2sqrt11 we get:

[ (2sqrt10) / (3sqrt11) ]*[ (3sqrt11) / (3sqrt11) ]

=[2*3sqrt (11*10) ] / (3*3*sqrt (11*11))

=[6sqrt110]/[3*3*11]

=[6sqrt110]/99

=[2sqrt110]/33

the answer is:

[2sqrt110]/33