Algebra
posted by Marysvoice on .
multiplying sq rts
sqrt18a^7b times sqrt27a^8b^6
I think I need to collect like terms such as the a's and b's. My big problem is order of operations. Every problem I do looks so different.

18 = 9 * 2 then sqrt 18 = 3sqrt2
sqrt a^7 = a^3 * sqrt a
27 = 9 * 3 then sqrt 27 = 3 sqrt3
sqrt a^8 = a^4
sqrt b^6 = b^3
Now just multiply the liketerms together. 
3sqrt6 and sqrt2a^4

... 3sqrt6 and sqrt2a^4?
So you simplified the problem first as I said above and you get:
3(a^3)sqrt(2a) * 3(a^4)(b^3)sqrt(3)
and then you multiply those 2 things together and you get:
9(a^7)(b^3)sqrt(6a)