CalculusReiny
posted by Untamed on .
V = Radical
The expression:
V2(V512V3)V3(V82V30) can be written in simplest form aVbcVd, where a, b, c ,d are all positive integers. The value of a + b + c + d is ________.
So after solving all this out, I arrived at 7V10  14V6. That  is beside the 14, and Im only supposed to have positive integers, so does that negative sign mean anything at all *question mark* Sorry accidentally pressed this button on keyboard, now Im getting all these french letters, so cant paste a question mark.

what the negative sign means is c is negative.

But all a,b,c and d are supposed to be positive integers, and I looked over this again, and its supposed to simplify into aVbcVd, so that means that the negative sign is supposed to be there, but the integer C is not negative.

√2(√512√3)√3(√82√30)
= √10  12√6  √24 + 2√90
= √10  12√6  2√6 + 6√10
= 7√10  14√6
which is what you got.
comparing this to a√b  c√d
a=7 , b = 10 , c = 14, and d = 6
so
a+b+c+d = 7+1014+6 = 9
Trust yourself!