Checking square roots, we see that 152 = 225 and 162 = 256. 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 243 checking for integer square root values below: √243 = √1√243 √243 = √3√81 √243 = √9√27
From that list, the highest factor that has an integer square root is 81. Therefore, we use the product combo √243 = √81√3 Evaluating square roots, we see that √81 = 9
Simplifying our product of radicals, we get our answer: √243 = 9√3
Therefore, we can factor out 9 from the radical, and leave 3 under the radical
We can factor out the following portion using the highest even powers of variables: √ = = Our leftover piece under the radical becomes 9√3 Our final answer is the factored out piece and the expression under the radical 9√3