Question

Can someone help me with rationalizing the denominator? 4√6/√30

Answer 1

what do you mean by rationalizing?

Answer 2

hmm, ok

Answer 3

to remove the radical

Answer 4

ok

Answer 5

why not just multiply the fraction by 1? \( \cfrac{\sqrt{30}}{\sqrt{30}}\)

Answer 6

okay. so 4√6/√30 x √30/√30 equals?? 4√180

Answer 7

somebody help me so i can understand it at least?

Answer 8

well 4√180 is correct, for the numerator, what do you get for the denominator?

Answer 9

30

Answer 10

yep

Answer 11

so, the root is gone from the denominator

you can of course, simplify it further, by say \(\sqrt{180} = \sqrt{6^2\times 5} = 4\times 6 \sqrt{5} \)

Answer 12

and divide by the denominator, but your answer thus far is ok

Answer 13

okay thanks im starting to understand it better