Asked by Genga

Find the square root of the following by prime factorization 7056
Answered by Steve
7056 = 2 * 3528 = 2^2 * 1714 = 2^3 * 857

Now factor 857. You know there are no more 2's in there, so start with 3, and so on.

So, what do you get? Since there are only three 2's, the square root will not be an integer, but will have a radical left over.
Answered by Reiny
7056 = (2*2*2*2)*(3*3)*(7*7)
= 16*9*49

so √7056 = 4*3*7 = 84
Answered by Steve
I see I can neither factor nor count. Go with Reiny.