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zzz [600]
3 years ago
13

Which number produces an irrational number when added to 0.5

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0

Answer: 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.


Ksju [112]3 years ago
5 0
B) square root of 3



Repeating decimals are rational, surprisingly enough.
Fractions are rational.
The square root of 16 is 4, which is rational.
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Step-by-step explanation:

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