Question

What is the simplest form of the product?
3√ 4x² * 3 √8x⁷

Answer 1

To find the simplest form of the product 3√4x² * 3√8x⁷, simplify each square root individually, combine like terms in the exponents, and then multiply the simplified square roots.

Step-by-step explanation:

To find the simplest form of the product 3√4x² * 3√8x⁷, we can simplify each square root individually by combining like terms in the exponents.

First, let's simplify 3√4x²:

3√4x² = 3(4x²)1/2 = 3(2x)1 = 3(2x) = 6x.

Next, let's simplify 3√8x⁷:

3√8x⁷ = 3(8x⁷)1/2 = 3(2x³)(2x)1 = 3(2x4) = 6x4.

Now, we can multiply the simplified square roots: 6x * 6x4 = 6 * 6 * x * x4 = 36x5.

Therefore, the simplest form of the product 3√4x² * 3√8x⁷ is 36x5.