Mathematics: 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 you so very much! : d

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when evaluated, which expression has a result

Ответ:

zackarygonzalez1028

04.01.2022

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

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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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
you so very much! : d

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