khyladiamond
khyladiamond khyladiamond
  • 29-07-2018
  • Mathematics
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What is the following quotient? ^3 square root 60 over ^3 square root of 20

What is the following quotient 3 square root 60 over 3 square root of 20 class=

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verohdzdmnoyee5c
verohdzdmnoyee5c verohdzdmnoyee5c
  • 29-07-2018
the answer is the first one
Answer Link
Аноним Аноним
  • 19-03-2019

Answer:

The Given Expression is

[tex]\frac{60^{\frac{1}{3}}}{20^{\frac{1}{3}}}\\\\=\frac{(2*2*3*5)^{\frac{1}{3}}}{(2*2*5)^{\frac{1}{3}}}\\\\={\text{Cancelling 2*2*5 from numerator and denominator}}\\\\=3^{\frac{1}{3}}[/tex]

Factor of 60 and 20 are

60=2*2*3*5

20=2*2*5

Option A: [tex]3^{\frac{1}{3}}[/tex]

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