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

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

## This Post Has 5 Comments

1. alexandria3498 says:

B) square root of 3

Repeating decimals are rational, surprisingly enough.
Fractions are rational.
The square root of 16 is 4, which is rational.

2. laina9939 says:

Choice D is correct.
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3. ferny5106 says:

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.

4. juansoto227711 says:

Option (b) is the correct answer.

Step-by-step explanation:

A number which cannot be expressed in the form of $\frac{p}{q}$ 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 $\frac{1}{2}$ 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, $\frac{1}{3}$ 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.

5. amberskids2 says: