I 9th grade work and writing 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 radical expression √363 - √327, first factor out any perfect square factors that can be taken out of the square roots:
√363 = √(121 * 3)
√363 = √121 * √3
√363 = 11√3
Similarly,
√327 = √(81 * 3)
√327 = √81 * √3
√327 = 9√3
Now, substitute these simplified forms back into the original expression:
11√3 - 9√3 = 2√3
Therefore, the simplified form of √363 - √327 is 2√3.