sqrt288

<-- Enter expression (use sqrt for square root)

Simplify √288

Simplify √288.

Checking square roots, we see that 162 = 256 and 172 = 289.
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 288 checking for integer square root values below:
288 = √1288
288 = √2144
288 = √396
288 = √472
288 = √648
288 = √836
288 = √932
288 = √1224
288 = √1618

From that list, the highest factor that has an integer square root is 144.
Therefore, we use the product combo √288 = √1442
Evaluating square roots, we see that √144 = 12

Simplifying our product of radicals, we get our answer:
288 = 12√2

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

We can factor out the following portion using the highest even powers of variables:
= =
Our leftover piece under the radical becomes 12√2
Our final answer is the factored out piece and the expression under the radical
12√2