simplify by combining like terms:
x sqrt(18) - 3 sqrt(8x)sqrd
If <sqrt(8x)sqrd> means [sqrt(8x)]^2, then that also equals 8x. So
x sqrt(18) - 3 sqrt(8x)sqrd
= x[sqrt(9*2)-3*8]
= 3x(sqrt 2 -3
To simplify the expression x sqrt(18) - 3 sqrt(8x)sqrd, you can start by simplifying the square root terms:
sqrt(18) = sqrt(9 * 2) = sqrt(9) * sqrt(2) = 3 sqrt(2)
Next, simplify the square root squared term:
sqrt(8x)^2 = (sqrt(8x))^2 = 8x
Now, you can rewrite the expression as:
x sqrt(18) - 3 sqrt(8x)sqrd = x (3 sqrt(2)) - 3 (8x)
= 3x sqrt(2) - 24x
So, the simplified expression is 3x sqrt(2) - 24x.
To simplify the given expression by combining like terms, let's first simplify the square roots.
The square root of 18 can be simplified as the square root of 9 times the square root of 2. Since the square root of 9 is equal to 3, we can rewrite the expression as:
x * sqrt(9 * 2) - 3 * sqrt(8x)^2
Simplifying further, we have:
x * (3 * sqrt(2)) - 3 * (sqrt(8x))^2
The square of sqrt(8x) simplifies to 8x:
x * (3 * sqrt(2)) - 3 * 8x
Now, combining like terms, we have:
3x * sqrt(2) - 24x
Therefore, the simplified expression is:
3x * sqrt(2) - 24x