Question

Perform the following computation with radicals. Simplify the answer.

Answer 1

Sqrt [ 6 ] * 2

Step-by-step explanation:

Sqrt[3]*2 Sqrt[2]

Sqrt [ 3 ] Sqrt [ 2 ] = Sqrt [ 3 * 2 ]:

Sqrt[ 3 * 2 ] 2

Answer:

Sqrt [ 6 ] * 2

Answer 2

`2 √(6)`

Step-by-step explanation

`√(3) * 2 √(2)`

This is the same as:

`2 * √(3) * √(2)`

Recall that:

`√(a) * √(b) = √(ab)`

We apply this property of radicals to obtain;

`2 * √(3) * √(2) = 2 √(3 * 2)`

We simplify to get;

`2 * √(3) * √(2) = 2 √(6)`

Therefore the simplified form of the given expression is

`2 √(6)`