How do you write 8x^2 in radical form?
you don't. Radicals imply roots, which are fraction exponents.
8x^(1/2) = 8√x
8x^(3/4) = 8∜x^3
8 x^2 = √(64 x^4)
To write the expression 8x^2 in radical form, we need to simplify and factor the expression as much as possible. Here's how to do it:
Step 1: Start by taking the square root of 8.
- The square root of 8 can be simplified further by factoring it into its prime factors.
- 8 can be factored as 2 * 2 * 2.
- Taking the square root of each factor, we have √2 * √2 * √2.
Step 2: Simplify the square root of x^2.
- Since x^2 is a perfect square, its square root is simply x.
Combining the results of Step 1 and Step 2, we have:
- √2 * √2 * √2 * x
Simplifying further, we can multiply the square roots together:
- (√2)^3 * x
Therefore, the expression 8x^2 in radical form is written as:
- (√2)^3 * x