Question

What is the following product? 3 sqrt 4 * sqrt 3

Answer 1

For this case, we must find the product of the following roots:

$\sqrt [3] {4} * \sqrt {3}$

By properties of the radicals we have:

Let a, b belong to the real ones, and m, n belong to the natural numbers, then:

$\sqrt [n] {a} \sqrt [m] {b} = \sqrt [n * m] {a ^ m * b ^ n}$

So:

$\sqrt [3] {4} * \sqrt {3} = \sqrt [3 * 2] {4 ^ 2 * 3 ^ 3} =\\\sqrt [6] {16 * 27} =\\\sqrt [6] {16 * 27} =\\\sqrt [6] {432} =$

Answer:

Option C

Answer 2

Answer:

6 sqrt 3

Step-by-step explanation: