Question

rationalize the denominator in the following:
(sqrt(7))/4sqrt(7)+3

Answer 1

Tip, multiply and divide your equation by (4sqrt(7)+3).
Then simplify the top and then the bottom.

Answer 2

i tried that but idk what to do with the top. wont the bottom just cancel out

Answer 3

Don't cancel, work with the numerators only.

Answer 4

i got (4sqrt(7)-3)/19 but i know theres something wrong

Answer 5

(sqrt(7))*(4sqrt(7)+3)
=4*7+(3sqrt(7))
=28+(3sqrt(7)) for the numerator