Question

Rationalize denominator in expression: 6/(5+radical 7)

Answer 1

Do you know what a conjugate is?

Answer 2

Not exactly

Answer 3

6/ 5+radical7 multiplication denominator and numerator with 5-radical7

Answer 4

It makes a complex expression into a real one, as @protosbg happened to give you without making you work of it.

Answer 5

radical into rational, sorry.

Answer 6

not complex into real.

Answer 7

Why would the 5 remain positive?

Answer 8

You need the difference of squares property -
\[(a+b)(a-b)=a^2-b^2\]

Answer 9

6(5-radical7)/(5-radical7)(5+radical7) then its 6(5-radical7)/(25-7)

Answer 10

i think ilils is small and shoudnt know what conjugate is
its number that is opposite a+b conjugate is a-b

Answer 11

I think I am catching on, you would then end up with 6(5-radical 7)/18, would you then split it up and continue to 1/3 *5-radical 7/18 or is that too far?

Answer 12

no it is good in that form 6(5-radical 7)/18

Answer 13

Ok thank you so much