sqrt(112)

<-- Enter expression

Evaluate √112

Term 1 has a square root, so we evaluate and simplify:
Simplify √112.

Checking square roots, we see that 102 = 100 and 112 = 121.
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.

We do this by listing each product combo of 112 checking for integer square root values below:
112 = √1112
112 = √256
112 = √428
112 = √716
112 = √814

From that list, the highest factor that has an integer square root is 16.
Therefore, we use the product combo √112 = √167
Evaluating square roots, we see that √16 = 4

Simplifying our product of radicals, we get our answer:
112 = 4√7

Group square root terms for 4
4√7


Build final answer:
4√7