Respuesta :

Answer:

Step-by-step explanation:

Break 18 into its prime factors.

√18 = √2 * 3 * 3

Notice that there are two 3s. When you are taking the square root and there a two factors that are the same, you take 1 and put it in front of the root sign. The other one is discarded.  The rule does not apply to the 2 since there is only 1 two.

√18 = 3 √2

So the expression now becomes

3√2 - √2                    Take out the common factor of √2

√2 (3 - 1)                      Notice 1 is left behind.

2√2