Evaluate √882

Simplify √882.

Checking square roots, we see that 29

Our answer in decimal format is between 29 and 30

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

√882 = √1√882

√882 = √2√441

√882 = √3√294

√882 = √6√147

√882 = √7√126

√882 = √9√98

√882 = √14√63

√882 = √18√49

√882 = √21√42

From that list, the highest factor that has an integer square root is 441.

Therefore, we use the product combo √882 = √441√2

Evaluating square roots, we see that √441 = 21

√882 =

21√2