Simplify √243

Simplify √243.

Checking square roots, we see that 15

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

√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

√243 =

Therefore, we can factor out 9 from the radical, and leave 3 under the radical

√ = =

Our leftover piece under the radical becomes 9√3

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