Evaluate √112

Simplify √112.

Checking square roots, we see that 10

Our answer in decimal format is between 10 and 11

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

√112 = √1√112

√112 = √2√56

√112 = √4√28

√112 = √7√16

√112 = √8√14

From that list, the highest factor that has an integer square root is 16.

Therefore, we use the product combo √112 = √16√7

Evaluating square roots, we see that √16 = 4

√112 =

4√7