Question

What is the following product?
V12*V18

Answer 1

Given:

Consider the given expression is:

`√(12)\cdot √(18)`

To find:

The value of the product.

Solution:

We have,

`√(12)\cdot √(18)`

It can be written as:

`=√(2* 2* 3)\cdot √(2* 3* 3)`

`=√(2^2* 3)\cdot √(2* 3^2)`

`=2√(3)\cdot 3√(2)`

On further simplification, we get

`=(2\cdot 3)√(3)\cdot √(2)`

`=6√(3\cdot 2)`

`=6√(6)`

Therefore, the value of the product is
`6√(6)`.