SOLUTION: What is the simplest form of the quotient? ^4sqrt400 ----------- ^4sqrt5 A. 5^4sqrt2 B. 2^4sqrt5 C. 2sqrt5 D. ^4sqrt80

Algebra ->  Radicals -> SOLUTION: What is the simplest form of the quotient? ^4sqrt400 ----------- ^4sqrt5 A. 5^4sqrt2 B. 2^4sqrt5 C. 2sqrt5 D. ^4sqrt80      Log On


   

Question 624498: What is the simplest form of the quotient?
^4sqrt400
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^4sqrt5
A. 5^4sqrt2
B. 2^4sqrt5
C. 2sqrt5
D. ^4sqrt80
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the simplest form of the quotient?
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^4sqrt400
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^4sqrt5
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If you mean 4th root,
root%284%2C400%29%2Froot%284%2C5%29
= root%284%2C80%29+=+root%284%2C16%29%2Aroot%284%2C5%29
= 2%2Aroot%284%2C5%29
Which is simpler?
2%2Aroot%284%2C5%29 or root%284%2C80%29 ?
"simpler" is not well defined.
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If there are other operations to be done, getting the number under the radical to its minimum might have advantages.
If you're going to use a calculator to get the number, there's no reason to continue past root%284%2C80%29
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A. 5^4sqrt2
B. 2^4sqrt5
C. 2sqrt5
D. ^4sqrt80