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

`60x^8\\`

Explanation:

Lets simplify the square roots:

`√(5x^4) = \sqrt5 * √(x^4) = \sqrt5 * x^2`

`√(5x^8) = \sqrt5 * √(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