Question

PLEASE HELP!

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

Answer 1

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

Answer 2

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)
`√(3) +6`

`√(3) +6=7.732050807...` ------> is an irrational number

case b)
`√(36) -\pi`

`√(36) -\pi=6-\pi=2.858407...` ------> is an irrational number

case c)
`√(144) *0.25`

`√(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)
`(√(4))/(√(2))`

`(√(4))/(√(2))=√(2)=1.41421356..` ------> is an irrational number

therefore

the answer is

`√(144) *0.25` is a rational number