Advertisements
Advertisements
प्रश्न
Find a rational number and also an irrational number lying between the numbers 0.3030030003... and 0.3010010001...
उत्तर
Let
a = 0.3030030003...
b = 0.3010010001...
Here decimal representation of a and b are non-terminating and non-repeating. So a and b are irrational numbers. We observe that in first two decimal place of a and b have the same digit but digit in the third place of their decimal representation is distinct.
Therefore, a > b.
Hence one rational number is 0.3011 lying between 0.3030030003... and 0.3010010001...
And irrational number is 0.3020200200020000... lying between 0.3030030003... and 0.3010010001...
APPEARS IN
संबंधित प्रश्न
Prove that 3 + 2`sqrt5` is irrational.
Identify the following as rational or irrational number. Give the decimal representation of rational number:
`3sqrt18`
In the following equation, find which variables x, y, z etc. represent rational or irrational number:
w2 = 27
Classify the numbers 2.040040004 as rational or irrational:
Prove that of the numbers ` 2 - sqrt(3)` is irrational:
Write a pair of irrational numbers whose product is irrational.
State whether the following number is rational or irrational
`(3 + sqrt(3))^2`
State whether the following number is rational or irrational
`(2 + sqrt(2))(2 - sqrt(2))`
Find whether the variable u represents a rational or an irrational number:
`u^2 = 17/4`
Show that x is irrational, if x2 = 27.
