Determine ³squre root of 1000 by using prime factors
To find the square root of 1000 using prime factors, we can first write 1000 as a product of its prime factors.
Prime factorization of 1000:
1000 = 2^3 * 5^3
Now, we can take the square root of each prime factor and simplify:
√(2^3 * 5^3) = √(2^2 * 2 * 5^2 * 5) = 2 * 5 * √(2) = 10√2
Therefore, the square root of 1000 is 10√2.