Which number produces a rational number when added to 0.5? a.0, b.√3,c.-1.73205081.. d.1/4

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Which number produces a rational number when added to 0.5? a.0, b.√3,c.-1.73205081.. d.1/4

B) square root of 3

Repeating decimals are rational, surprisingly enough.

Fractions are rational.

The square root of 16 is 4, which is rational.

Choice D is correct.

I need brainliest!!!

For any number to produce a rational number, when added to 0.5 which is also a rational number, that number must be also rational.

A,C and D are all irrational numbersm while B is a rational number.

So, the answer is B.

Option (b) is the correct answer.

Step-by-step explanation:

A number which cannot be expressed in the form of [tex]\frac{p}{q}[/tex] is known as irrational number. An irrational number are non-terminating and non-repeating numbers.

For example, 0.5, square root of 2 etc are irrational numbers.

Sum of a rational number and irrational number always produces an irrational number. Therefore, 0.5 which can also be written as [tex]\frac{1}{2}[/tex] when added to square root of 3 will produce an irrational number.

Whereas 0.555... is non-terminating and repeating. Hence, it is not an irrational number.

Similarly, [tex]\frac{1}{3}[/tex] and square root of 16 are rational numbers.

Thus, we can conclude that out of the given options, square root of 3 produces an irrational number when added to 0.5.

The correct answer is B.

A is a repeated decimal, which is considered irrational.

C is also a decimal, which is considered irrational.

D is a number that is considered to go on forever, and so it is irrational.