Question

What is the following simplified product? Assume x>0

2 square root 8x^3(3 square root 10x^4-x square root 5x^2​

Answer 1

it B

Explanation:

Answer 2

`24x^3√(5x) - 4x^3√(10x)`

Explanation:

The product
`2√(8x^3) (3√(10x^4) - x√(5x^2))` can be simplified as follows:

Step 1: Use the distributive property of multiplication

`2√(8x^3)(3√(10x^4)) - 2√(8x^3)(x√(5x^2))`

`2*3√(8x^3*10x^4) - 2*x√(8x^3*5x^2)`

`6√(80x^7) - 2x√(40x^5)`

Step 2: simplify further

`6√(16*5*x^3*x^3*x) - 2x√(4*10*x^4*x)`

`6*4*x^3√(5*x) - 2x*2*x^2√(10*x)`

`24x^3√(5x) - 4x^3√(10x)`