simplfy square root (300)
To simplify the square root of 300, we need to find the largest perfect square that divides 300. The largest perfect square that divides 300 is 100.
So, √300 can be simplified as √(100 * 3).
√(100 * 3) = √100 * √3 = 10√3.
Therefore, the simplified form of √300 is 10√3.
To simplify the square root of 300, we can look for the factors of 300.
The prime factorization of 300 can be expressed as:
300 = 2 * 2 * 3 * 5 * 5
To simplify the square root, we can take out any pairs of identical factors. In this case, there is a pair of 2's and a pair of 5's:
√300 = √(2 * 2 * 3 * 5 * 5)
√300 = √(2^2 * 3 * 5^2)
Taking out the pairs, we get:
√300 = 2 * 5 * √3
So, the simplified form of the square root of 300 is 10√3.
To simplify the square root of 300, we need to look for the largest perfect square that divides evenly into 300. In this case, the largest perfect square that divides evenly into 300 is 100 (since the square root of 100 is 10).
To simplify the square root of 300, we can rewrite it as the product of the square root of 100 and the square root of 3:
√300 = √(100 * 3) = √100 * √3 = 10√3
So, the simplified form of the square root of 300 is 10√3.