Answer
384.6k+ views
Hint:As we know that the numbers that are used to count are called the natural numbers. Or we can say that numbers starting from $1$ are called natural numbers. Counting numbers can never be negative. Now the real numbers are classified into two categories i.e. rational and irrational numbers. We know that rational numbers are those numbers that can be expressed in the form of fraction where the numerator and the denominator both are integers. While the numbers that cannot be expressed in the form of a fraction where the denominator is not equal to zero, are called the irrational numbers.
Complete step by step solution:
As per the given question we have $n$ which is the natural number. Since it is an unknown number we have to consider the following cases to find the value of it.
First case: Let $n$ is a perfect square, like $1,2,9,16,25...etc$. They all are the square root, a rational number and natural number. So we can say that $\sqrt n $ is a natural number.
Second case: Let in the second case $n$ is not a perfect square, for example $2,3,5,7,11,..etc$. Since
$\sqrt 2 ,\sqrt 3 ,\sqrt 5 ,\sqrt 7 ...etc$ all are irrational numbers. From both the cases we can say that $\sqrt n $ is either a natural number or an irrational number.
Hence the correct option is (d)Either a natural number or an irrational number.
Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers. We should note that integers can either be negative or positive but since we use them in counting numbers we can consider them in natural numbers. Here we have an unknown number in the question, we have to consider all the cases to find the value of it.
Complete step by step solution:
As per the given question we have $n$ which is the natural number. Since it is an unknown number we have to consider the following cases to find the value of it.
First case: Let $n$ is a perfect square, like $1,2,9,16,25...etc$. They all are the square root, a rational number and natural number. So we can say that $\sqrt n $ is a natural number.
Second case: Let in the second case $n$ is not a perfect square, for example $2,3,5,7,11,..etc$. Since
$\sqrt 2 ,\sqrt 3 ,\sqrt 5 ,\sqrt 7 ...etc$ all are irrational numbers. From both the cases we can say that $\sqrt n $ is either a natural number or an irrational number.
Hence the correct option is (d)Either a natural number or an irrational number.
Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers. We should note that integers can either be negative or positive but since we use them in counting numbers we can consider them in natural numbers. Here we have an unknown number in the question, we have to consider all the cases to find the value of it.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)