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Which number is a rational number

Which number is a rational number-example-1
User Blackcompe
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2 Answers

3 votes
square root of 49 i think
User Vikas Pandya
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1 vote

Answer:


\sqrt{ (36)/(16) }

Explanation:

A rational number is one that can be expressed as a fraction.


  • \sqrt{ (36)/(6) } = √(6)
  • sqrt(6) is irrational.

Therefore, top left and right and irrational.

Bottom left:


  • \sqrt{ (36)/(16) } = ( √(36) )/( √(16) ) = (6)/(4) = (3)/(2)
  • Very obviously already in a fractional form making it rational.

Bottom right:


  • \sqrt{ (16)/(6) } = ( √(16) )/( √(6)) = (4)/( √(6) ) = (4 √(6) )/(6) = (2 √(6) )/(3)
  • We already established that the sqrt(6) is not rational, so this expression is also irrational.

User Jim Andreas
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