sqrt 18 simplified
The simplified square root of 18 is approximately 4.2426.
sqrt 125 simplified
The simplified square root of 125 is 5√5.
To simplify the square root of 18, we need to find the largest perfect square that is a factor of 18.
The factors of 18 are 1, 2, 3, 6, 9, 18.
The largest perfect square that is a factor of 18 is 9, which is equal to 3^2.
Therefore, sqrt(18) can be simplified as sqrt(9 * 2).
Taking the square root of 9 gives us 3, so sqrt(18) simplifies to 3 * sqrt(2).
To simplify the square root of 18, you can first identify any perfect square factors of 18.
The prime factorization of 18 is 2 * 3^2, which means that 18 can be written as the product of 2 and three '3's.
Since 3^2 is a perfect square, we can take the square root of it, which is 3. Therefore, we can simplify the square root of 18 as the product of the square root of 2 and the square root of 3:
√18 = √(2 * 3^2) = √2 * √3 = √2 * 3 = 3√2
Thus, the simplified form of the square root of 18 is 3√2.