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When evaluated, which expression has a result that is a rational number?

A√3 + 6

B√36 - π

C√144 × 0.25

D√4 ÷ √2

Thank you so very much! :D

Verified Answer :

C√144 × 0.25 = 6. And six is rational sooooooo, that's the brakes :)
calculista

we know that

Rational Number is a number that can be made by dividing two integers, and an Irrational Number is a real number that cannot be written as a simple fraction

so

case a) \(\sqrt{3} +6\)

\(\sqrt{3} +6=7.732050807...\) ------> is an irrational number

case b) \(\sqrt{36} -\pi\)

\(\sqrt{36} -\pi=6-\pi=2.858407...\) ------> is an irrational number

case c) \(\sqrt{144} *0.25\)

\(\sqrt{144} *0.25=12*0.25=3\)

we know that

All whole numbers are rational numbers.

therefore

the case c) is a rational number

case d) \(\frac{\sqrt{4}}{\sqrt{2}}\)

\(\frac{\sqrt{4}}{\sqrt{2}}=\sqrt{2}=1.41421356..\) ------> is an irrational number

therefore

the answer is

\(\sqrt{144} *0.25\) is a rational number


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