Simplify √288

Simplify √288.

Checking square roots, we see that 16

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

√288 = √1√288

√288 = √2√144

√288 = √3√96

√288 = √4√72

√288 = √6√48

√288 = √8√36

√288 = √9√32

√288 = √12√24

√288 = √16√18

From that list, the highest factor that has an integer square root is 144.

Therefore, we use the product combo √288 = √144√2

Evaluating square roots, we see that √144 = 12

√288 =

Therefore, we can factor out 12 from the radical, and leave 2 under the radical

√ = =

Our leftover piece under the radical becomes 12√2

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