anonymous
  • anonymous
what is the simplest form of the quotient? sqrt[4]{400} / sqrt[4]{5}
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
what is 400/5?
anonymous
  • anonymous
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amistre64
  • amistre64
the radicals "merge" into 4rt(400/5) so i ask you, what is 400/5?

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anonymous
  • anonymous
80
amistre64
  • amistre64
to determine if 80 can be simplified further, we need to decompose it into its prime parts id start with dividing by 2 till i couldnt divide by 2 anymore
anonymous
  • anonymous
its 5
amistre64
  • amistre64
80 2*40 2*2*20 2*2*2*10 2*2*2*2*5 whatever we have 4 of, can be pulled out, so lets pull out the 2 and leave the 5 2 4rt(5)
anonymous
  • anonymous
so how would i put that in the calculator
amistre64
  • amistre64
if you are simply inputing it into a calculator, you would have to exponentiating the 4rt: nrt = ^(1/n) 4rt = ^(1/4) but then if you are simply inputing into a calculator, there was really no need to simplify it.
anonymous
  • anonymous
oh okay thank you
amistre64
  • amistre64
if you need an "exact" form: \[\Large 2\sqrt[4]5\]is it

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