Simplify the radical expression. Show steps
√(363) - 3 √(27)
√(363) - 3 √(27)
First, let's simplify the square root of 363:
√(363) = √(121 * 3) = √(121) * √(3) = 11√(3)
Now, let's simplify the square root of 27:
√(27) = √(9 * 3) = √(9) * √(3) = 3√(3)
Finally, substitute the simplified values back into the original expression:
11√(3) - 3(3√(3))
Distribute the 3:
11√(3) - 9√(3)
Combine like terms:
(11 - 9)√(3) = 2√(3)
Therefore, the simplified form of √(363) - 3 √(27) is 2√(3).