Question

Determine the value of the expression.

4√18 √6
Write your answer as an exact quantity using only a single radical.

Answer 1

To determine the value, simplify the expression using the property of square roots and then factor out perfect squares.

Step-by-step explanation:

To determine the value of 4√18 √6, we can simplify the expression by using the property √(a * b) = √a * √b. Applying this property, we get 4√(18 * 6). Simplifying the expression inside the square root, we have 4√108. Next, we can factor out the perfect squares from 108, which is 36. Therefore, 4√108 = 4 * 6√3 = 24√3.

Learn more about Simplifying square roots