Q2 of 20 Page 13

What is meant by irrational numbers? —let me understand. Let me write 4 irrational numbers.

The numbers which cannot be expressed in the form of , where q is not equal to zero are called Irrational Numbers.


√2, since its value 1.414… we cannot write the exact value of √2 and thereby cannot write it in form, as a result it is an irrational number.


Four irrational numbers are: √3, √5, √6 and √7


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9

Let me see and write what I will get by adding, subtracting, multiplying and dividing (divisor is non-zero) two rational numbers.

 1

Let us write the right or False statement from the following:

(i) The sum of two rational numbers will always be rational.


(ii) The sum of two irrational numbers will always be irrational.


(iii) The product of two rational numbers will always be rational.


(iv) The product of two irrational numbers will always be rational.


(v) Each rational number must be real.


(vi) Each real number must be irrational.

 3

Let us write rational and irrational numbers from the following:

(i) √9 (ii) √225


(iii) √7 (iv) √50


(v) √100 (vi) -√81


(vii) √42 (viii) √29


(ix) -√1000

 4

Let me place on Number Line.