Enter radical expression

Simplify √288.

Checking square roots, we see that 16² = 256 and 17² = 289.
Our answer is not an integer.
Simplify it into the product of an integer and a radical.

List each product combo of 288
checking for integer square root values below:
√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

Simplify our product

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