Question

what is the square root of 196 by prime factorization

Answer 1

Answer:

Notice 196 = (2)(2)(7)(7) Since there is an even number of prime factors and they can be grouped in identical pairs we know that 196 has a square root that is a whole number. Taking one number from each pair and multiplying we get; √196 2 7 14 Determine the square root of 84.

Answer 2

196 = 2*2*7*7

196 = 14*14

196 = 14^2

so square root of 196 is 14