Simplify the radical expression. Show steps

Question

√(363) - 3 √(27)

Answer 1

√(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).