Use a prime factor to determine squre root of 225
225 = 3^2 5^2
so, √225 = 3*5 = 15
To determine the square root of 225 using a prime factor, we first need to find the prime factorization of 225.
The prime factors of 225 are 3 and 5.
225 can be expressed as: 3 × 3 × 5 × 5
Now, we can pair up the prime factors in pairs of two (since we're finding the square root). In this case, we have two pairs: (3 × 3) and (5 × 5).
Taking the square root of each pair gives us:
√(3 × 3) = 3
√(5 × 5) = 5
Therefore, the square root of 225 is 3 × 5, which equals 15.