Question

4x/√(4)(8x²)
a) 2x
b) 4x
c) 8x
d) 16x

Answer 1

To simplify the expression 4x/√(4)(8x²): First, simplify the denominator by simplifying the square root of 4 to 2. Next, cancel out the common factors between the numerator and denominator. Finally, simplify the expression that remains after canceling out the x's. Therefore, the expression simplifies to 1/8x.

Step-by-step explanation:

To simplify the expression 4x/√(4)(8x²):

1. First, simplify the denominator by simplifying the square root of 4 to 2. So the denominator becomes 2(8x²).
2. Next, cancel out the common factors between the numerator and denominator. We can cancel out one of the x's from the numerator with one of the x's from the denominator.
3. Finally, simplify the expression that remains after canceling out the x's.

Therefore, the expression simplifies to 2/2(8x), which further simplifies to 1/8x.