Irrational Numbers
Trending Questions
Prove that is irrational.
How we can express 0.¯¯¯¯¯¯¯¯001 in the form of pq , where q≠0
Find two rational number between √2 and √3.
Find two irrational number between 0.5 and 0.55.
Give an example of two irrational numbers whose sum is a rational number.
Every integer is a rational number. true or false?
Examine, whether the following numbers are rational or irrational:
(i) √7 (ii) √4
(iii) 2+√3 (iv) √3+√2
(v) √3+√5 (vi) (√2−2)2
(vii) (2−√2)(2+√2) (viii) √2+√3)2
(ix) √5−2 (x) √23
(xi) √225 (xii) 0.3796
(xiii) 7.478478..... (xiv) 1.101001000100001.....
Prove that is irrational:
Give an example of two irrational numbers whose sum as well as product is rational.
(a) Both Assertion (A) and Reason (R) are true and Reason (A) and Reason (R). For selecting the correct answer, use the following code :
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.
Assertion (A) Reason (R)e is an irrational number.π is an irrational numberThe correct answer is: (a)/(b)/(c)/(d).
Find 2 irrational numbers between 0.12 and 0.13
The value of 3√54÷2√2 is
Square of an irrational number is always a rational number.
True
False
Express 0.00323232.... in the form of p/q where p , q are integers and q ≠0 .
Find two irrational numbers lying between 0.1 and 0.12.
- 211
- 222
- 233
Find an irrational number between 57 and 79. How many more there may be?
1√2
State whether the following statements are true or false? Justify your answer.
(i) √23 is a rational number.
(ii) There are infinitely many integers between any two integers.
(iii) Number of rational numbers between 15 and 18 is finite.
(iv) There are numbers which cannot be written in the form pq, q≠0 p and q both are integers.
(v) The square of an irrational number is always rational.
(vi) √12√3 is not a rational number as √12 and √3 are not integers.
(vii) √15√3 is written in the form pq, so it is a rational number.
Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers :
(i) √4 (ii) 3√18
(iii) √1.44 (iv) √927
(v) −√64 (vi) √100
(a)
(b)
(c)
(d)