Question

Which expression is equivalent to 4x^2 to the square root of 5x^4 • 3 to the square root of 5x^8 if x ≠ 0

Answer 1

Answer:

$60x^8$

Step-by-step explanation:

Lets simplify the square roots:

$\sqrt{5x^4} = \sqrt5 * \sqrt{x^4} = \sqrt5 * x^2$

$\sqrt{5x^8} = \sqrt5 * \sqrt{x^8} = \sqrt5 * x^4$

Lets multiply:

$4x^2\sqrt5x^2 * 3\sqrt5x^4 =$            Combine like terms

$12x^4\sqrt5 * \sqrt5x^4 =$                Combine like terms, simplify

$12x^8*5 =$                           Simplify

$60x^8$

-Chetan K