Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the radical expression. Show all your steps. 363−−−√−327−−√
To simplify the expression √363 - √327, we first need to find the prime factorization of both numbers.
√363 = √(3*121) = 11√3
√327 = √(3*109) = √(3*3*37) = 3√37
Now we can substitute these values back into the original expression:
11√3 - 3√37
Therefore, the simplified form of the expression √363 - √327 is 11√3 - 3√37.