51.1k views
2 votes
What is the following product?
V12*V18

User Amrdruid
by
5.9k points

1 Answer

4 votes

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).

User Pere Villega
by
6.3k points