Question 164836
If I understand the problem correctly it is 3*sqrt(18)+3*sqrt(32) breaking down the square root of 18 we get sqrt of 9*2 or 3*sqrt(2) but we must multiply this by 3 so we end up with 9*sqrt(2) in the 1st term.....like wise in the second term we break down sqrt(32) into sqrt(16*2) and we get 4*sqrt(2) which we must also multiply by 3 and end up with 12 sqrt(2)....so we end up with 9*sqrt(2) + 12 *sqrt(2) and we know that since that if the radicals have the same index and radicand that we can combine in the same way algebraic terms are combined so that we get (12+9)sqrt(2) or 21sqrt(2)