perform and simplify
sqrt 98x- sqrt18x
sqrt(49*2x) - sqrt(9*2)x
= (7 - 3)sqrt(2x)
= 4 sqrt(2x)
To perform and simplify the expression sqrt(98x) - sqrt(18x), we can follow these steps:
Step 1: Determine if there are any common factors inside the square root.
sqrt(98x) = sqrt(49 * 2 * x) = sqrt(49) * sqrt(2) * sqrt(x) = 7 * sqrt(2x)
sqrt(18x) = sqrt(9 * 2 * x) = sqrt(9) * sqrt(2) * sqrt(x) = 3 * sqrt(2x)
Step 2: Substitute the simplified expressions back into the original expression.
7 * sqrt(2x) - 3 * sqrt(2x)
Step 3: Combine like terms.
(7 - 3) * sqrt(2x) = 4 * sqrt(2x)
Therefore, the simplified form of sqrt(98x) - sqrt(18x) is 4 * sqrt(2x).