= 6+4/2, which is an irrational number. 1.2 EXERCISE 1. Classify the following numbers as rational or irrational. (iii)30.232342 (i) 441 @ 27 (vi) 0.3030030 (v) 11.2132435465 (iv) 7.484848... 2. Give four examples for rational and irrational numbers? and How many more there may 3. Find an irrational number between 4. Find two irrational numbers between 0.7 and 0.77 5. Find the value of 5 upto 3 decimal places. 6. Find the value of 7 up to six decimal places by long division method. 7. Locate 10 on the number line. 8. Find atleast two irrational numbers between 2 and 3. 9. State whether the following statements are true or false. Justify your answers. O Every irrational number is a real number. (i) Every rational number is a real number. (m Every real number need not be a rational number (iv) In is not irrational if n is a perfect square. (v) In is irrational if n is not a perfect square. (vi) All real numbers are irational.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
= 2+4/2 +4
-2.V2 .2+
9. State whether the following statements are true or false. Justify your answers.
)(2+2] =(v2)
= 6+42,which is an irrational number.
1.2
EXERCISE
1. Classify the following numbers as rational or irrational.
(i) /441
(ii) 30.232342
@27
(vi) 0.3030030
(v) 11.2132435465
(iv) 7.484848...
2. Give four examples for rational and irrational numbers?
5
3. Find an irrational number between
and
How
many more there may
4. Find two irrational numbers between 0.7 and 0.77
5. Find the value of 5 upto 3 decimal places.
6. Find the value of 7 up to six decimal places by long division method.
7. Locate V10 on the number line.
8. Find atleast two irrational numbers between 2 and 3.
) Every irrational number is a real number.
(i) Every rational number is a real number.
(i) Every real number need not be a rational number
(iv) Vn is not irrational if n is a perfect square.
(v) yn is irrational if n is not a perfect square.
(vi) All real numbers are irrational.
Transcribed Image Text:= 2+4/2 +4 -2.V2 .2+ 9. State whether the following statements are true or false. Justify your answers. )(2+2] =(v2) = 6+42,which is an irrational number. 1.2 EXERCISE 1. Classify the following numbers as rational or irrational. (i) /441 (ii) 30.232342 @27 (vi) 0.3030030 (v) 11.2132435465 (iv) 7.484848... 2. Give four examples for rational and irrational numbers? 5 3. Find an irrational number between and How many more there may 4. Find two irrational numbers between 0.7 and 0.77 5. Find the value of 5 upto 3 decimal places. 6. Find the value of 7 up to six decimal places by long division method. 7. Locate V10 on the number line. 8. Find atleast two irrational numbers between 2 and 3. ) Every irrational number is a real number. (i) Every rational number is a real number. (i) Every real number need not be a rational number (iv) Vn is not irrational if n is a perfect square. (v) yn is irrational if n is not a perfect square. (vi) All real numbers are irrational.
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