Question

What is the product of 2v3 and 4V 18 in simplest radical form?

Answer 1

Answer: 24
`√(6)`

Explanation:

1. Identify that 4
`√(18)` is equal to 4 times
`√(2)` times
`√(3^2)`.
`√(3^2)=3`. Our rational numbers are now 4 and 3. 4 times 3 equals 12, and we have a remainder of
`√(2)`. Knowing
`4√(18)=12√(2)` makes the second step much easier.

2. A fast approach for these types of problems is to multiply the rational numbers together and multiply the irrational numbers separately until the last step. 2 times 12 equals 24.
`√(3)` times
`√(2)` equals
`√(6)`.

3. Now we must simply multiply the whole number with the irrational number. 24 times
`√(6)` equals 24
`√(6)`.

Answer 2

a x n = n √ a = n = √ a a x = n = √ a a 144 v ⋅ 3 ⋅ V = 432 v V

Explanation:

n = √ a a Multiply 3 by 144 . 432 v V

List all of the solutions. a x n = n √

a = n = √ a

a x = n = √ a a 144 v ⋅ 3 ⋅ V = 432 v V