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

me

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18