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

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: