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What is 4β32+6β50 in simplified radical form
4 months ago
Q:
What is 4β32+6β50 in simplified radical form
Accepted Solution
A:
Simplify the following:
4 sqrt(32) + 6 sqrt(50)
sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):
4Γ2^2 sqrt(2) + 6 sqrt(50)
2^2 = 4:
4Γ4 sqrt(2) + 6 sqrt(50)
sqrt(50) = sqrt(2Γ5^2) = 5 sqrt(2):
4Γ4 sqrt(2) + 6Γ5 sqrt(2)
4Γ4 = 16:
16 sqrt(2) + 6Γ5 sqrt(2)
6Γ5 = 30:
16 sqrt(2) + 30 sqrt(2)
16 sqrt(2) + 30 sqrt(2) = 46 sqrt(2):
Answer: 46 sqrt(2)