Rationalize the denominator and simplify.

3 √6+5 √2/4 √6-3 √2

Answer is 102+29√12/78

Step-by-step explanation:

Rationalize the denominator of the term

=3√6+5√2/4√6-3√2 * 4√6+3√2/4√6+3√2

Multiply Both Numerator and Denominator by 4√6+3√2

=72+20√12+9√12+30 / (4√6) ^2 - (3√2) ^2

=102+29√12/96-18

=102+29√12/78