Hi - any problem you can give me to make sure I understand

ex: square root 3, 1, square root 3 (over) 3, 0

google radicals and examples

cot π/6 = √3

Certainly! Let's work with a problem involving simplifying a fraction. Here's the problem:

Simplify the fraction (2x^3 - 6x^2 + 4x) / (6x^2 - 8x)

To simplify this fraction, we need to find the greatest common factor (GCF) of the numerator and denominator, and then divide both by that factor. Here's how we can do it step by step:

Step 1: Simplify the numerator.
The numerator is 2x^3 - 6x^2 + 4x. The GCF of these terms is 2x, so we can factor it out:
2x(x^2 - 3x + 2)

Step 2: Simplify the denominator.
The denominator is 6x^2 - 8x. The GCF of these terms is 2x, so we can factor it out as well:
2x(3x - 4)

Step 3: Simplify the fraction.
Now that we have factored out the GCF in both numerator and denominator, we can cancel out the common factor:
(2x(x^2 - 3x + 2)) / (2x(3x - 4))

The 2x in the numerator and the 2x in the denominator cancel each other out:
(x^2 - 3x + 2) / (3x - 4)

So, the simplified fraction is (x^2 - 3x + 2) / (3x - 4).

Let me know if you have any questions or need further explanation!