Question

can anybody show me how to do this step by step?
Simplify:
√3(√12-√24)

Answer 1

\(\sqrt{3*12}-\sqrt{3*24}=\sqrt{3^2*2^2}-\sqrt{3^2*2^2*2}=6-6\sqrt{2}\)

Answer 2

where did the exponents come from?

Answer 3

3*12=3*3*2*2

Answer 4

oh so the factors of 12?

Answer 5

yes

Answer 6

and the second 2?

Answer 7

12=3*4=3*2*2

Answer 8

24=3*8=3*2*2*2

Answer 9

oh, ok.. see now, thank you :)

Answer 10

yw