Simplify √216v

Simplify √216.

Checking square roots, we see that 14

Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

√216 = √1√216

√216 = √2√108

√216 = √3√72

√216 = √4√54

√216 = √6√36

√216 = √8√27

√216 = √9√24

√216 = √12√18

From that list, the highest factor that has an integer square root is 36.

Therefore, we use the product combo √216 = √36√6

Evaluating square roots, we see that √36 = 6

√216 =

Therefore, we can factor out 6 from the radical, and leave 6 under the radical

√ = =

Our leftover piece under the radical becomes 6√6v

Our final answer is the factored out piece and the expression under the radical