Question

Simplify radical 363

Answer 1

The simplified radical form of 363 is √363. However, this cannot be further simplified since 363 is not a perfect square and its prime factorization is 3 × 121 or 3 × 11².

Answer 2

The prime factorization of 363 is:

363 = 3 × 121

We can simplify the square root of 363 by writing it as the product of the square root of 3 and the square root of 121:

√363 = √(3 × 121) = √3 × √121

Since the square root of 121 is 11, we can replace it in the expression:

√363 = √3 × 11 = 11√3

Therefore, the simplified radical form of 363 is 11√3.