EXERCISE 1.2
EVIDYARTHIQ 1, Ex 1.2, Page No 8, Number Systems, Class 9th Maths Solutions
MKR
Class - 9th, Ex - 1.2, Q 1 ( NUMBER SYSTEM ) CBSE NCERT
Page No 8:
Question 1:
State whether the following statements are true or false. Justify your answers.(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form $\sqrt{m}$, where m is a natural number.
(iii) Every real number is an irrational number.
Answer:
(i) True; since the collection of real numbers is made up of rational and irrational numbers.(ii) False; as negative numbers cannot be expressed as the square root of any other number.
(iii) False; as real numbers include both rational and irrational numbers. Therefore, every real number cannot be an irrational number.
EVIDYARTHI
Q 2, Ex 1.2, Page No 8, Number Systems, Class 9th Maths
MKR
Class - 9th, Ex - 1.2, Q 2 ( NUMBER SYSTEM ) CBSE NCERT
Question 2:
Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.Answer:
If numbers such as $\sqrt{4}=2, \sqrt{9}=3$ are considered,Then here, 2 and 3 are rational numbers. Thus, the square roots of all positive integers are not irrational.
MKRClass - 9th, Ex - 1.2, Q 3 ( NUMBER SYSTEM ) CBSE NCERT show root 5 on number line
Question 3:
Show how $\sqrt{5}$ can be represented on the number line.Answer:
We know that, $\sqrt{4}=2$And,$\sqrt{5}=\sqrt{(2)^{2}+(1)^{2}}$
Mark a point ‘A’ representing 2 on number line. Now, construct AB of unit length perpendicular to OA. Then, taking O as centre and OB as radius, draw
an arc intersecting number line at C.
C is representing $\sqrt{5}$
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