Please Use the distributive property to help simplify the following, thank you
4 sqrt(48x)+5 sqrt(75x)-10 sqrt(108x)?
4 sqrt(48x)+5 sqrt(75x)-10 sqrt(108x)?
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48 = 16×3 = 4²×3
75 = 25×3 = 5²×3
108 = 36×3 = 6²×3, so:
4√(48x) + 5√(75x) - 10√(108x) =
16√(3x) + 25√(3x) - 60√(3x) =
-19√(3x)
75 = 25×3 = 5²×3
108 = 36×3 = 6²×3, so:
4√(48x) + 5√(75x) - 10√(108x) =
16√(3x) + 25√(3x) - 60√(3x) =
-19√(3x)
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48=3(4^2)
75=3(5^2)
108=3(6^2)
so 4 sqrt(48x)+5 sqrt(75x)-10 sqrt(108x) = 16sqrt(3x) + 25sqrt(3x) -60sqrt (3x) = -19sqrt(3x)
75=3(5^2)
108=3(6^2)
so 4 sqrt(48x)+5 sqrt(75x)-10 sqrt(108x) = 16sqrt(3x) + 25sqrt(3x) -60sqrt (3x) = -19sqrt(3x)
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This is quite hard to explain through internet, you should get some help from Mathematics teacher or professional
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4 Sqrt(48x) + 5 Sqrt(75x) - 10 Sqrt(108x)
= 16 Sqrt (3x) + 25 Sqrt(3x) - 60 Sqrt(3x)
= -19 Sqrt (3x)
= 16 Sqrt (3x) + 25 Sqrt(3x) - 60 Sqrt(3x)
= -19 Sqrt (3x)