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Which of the following is an rational number?
- a)0.323223222322223…….
- b)√180
- c)√31
- d)√196
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following is an rational number?a)0.323223222322223&helli...
- A rational number is a number that can be expressed as a fraction where both the numerator and denominator are integers.
- √196 is a rational number because it simplifies to 14/1, which is a fraction where both the numerator and denominator are integers.
- Options B and C are irrational numbers because they cannot be expressed as fractions.
- Option A is a repeating decimal, which can be rational if it eventually settles into a repeating pattern, but without further information, it is not clear if this is the case.
- √196 is a rational number because it simplifies to 14/1, which is a fraction where both the numerator and denominator are integers.
- Options B and C are irrational numbers because they cannot be expressed as fractions.
- Option A is a repeating decimal, which can be rational if it eventually settles into a repeating pattern, but without further information, it is not clear if this is the case.
Most Upvoted Answer
Which of the following is an rational number?a)0.323223222322223&helli...
B) $\sqrt{2}$
c) $-5$
d) $\frac{3}{4}$
Answer: d) $\frac{3}{4}$
Explanation:
A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero.
a) 0.323223222322223 is a decimal with repeating digits, which means it is a rational number. We can write it as $\frac{323223222322223}{10^{15}}$, which is a ratio of two integers.
b) $\sqrt{2}$ is an irrational number, which cannot be expressed as a ratio of two integers.
c) -5 is a rational number, as it can be written as $\frac{-5}{1}$, a ratio of two integers.
d) $\frac{3}{4}$ is a rational number, as it is a ratio of two integers.
c) $-5$
d) $\frac{3}{4}$
Answer: d) $\frac{3}{4}$
Explanation:
A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero.
a) 0.323223222322223 is a decimal with repeating digits, which means it is a rational number. We can write it as $\frac{323223222322223}{10^{15}}$, which is a ratio of two integers.
b) $\sqrt{2}$ is an irrational number, which cannot be expressed as a ratio of two integers.
c) -5 is a rational number, as it can be written as $\frac{-5}{1}$, a ratio of two integers.
d) $\frac{3}{4}$ is a rational number, as it is a ratio of two integers.
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Community Answer
Which of the following is an rational number?a)0.323223222322223&helli...
First of all we take option (a) = It is non terminating and non recurring. Option (b) =IT is also non terminating and non recurring. Option (c) =It is also non terminating and non recurring. Option (d) The root of 196 is 14 So we see that option d is right because it is in a simple form
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