Simplify the radical expression. Show all your steps.
√363 - 3√27
1 answer:
Answer:
2 sqrt(3)
Step-by-step explanation:
Simplify the following:
sqrt(363) - 3 sqrt(27)
sqrt(27) = sqrt(3^3) = 3 sqrt(3):
sqrt(363) - 33 sqrt(3)
sqrt(363) = sqrt(3×11^2) = 11 sqrt(3):
11 sqrt(3) - 3×3 sqrt(3)
-3×3 = -9:
11 sqrt(3) + -9 sqrt(3)
11 sqrt(3) - 9 sqrt(3) = 2 sqrt(3):
Answer: 2 sqrt(3)
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