Advertisements
Advertisements
प्रश्न
Find a positive number smaller than `2^(1/1000)`. Justify
उत्तर
We know `1/2` = 0.5
`1/2^2` = (0.5)2 = 0.25
`1/2^3` = (0.5)3 = 0.125
`1/2^4` = (0.5)4 = 0.0625
`2^(1/1000)` = (0.5)1000 = 0
There will not be a positive number smaller than 0.
So there will not be a +ve number smaller than `2^(1/1000)`
APPEARS IN
संबंधित प्रश्न
Classify each element of `{sqrt(7), (-1)/4, 0, 3, 1, 4, 4, 22/7}` as a member of N, Q, R − Q or Z
Prove that `sqrt(3)` is an irrational number.
(Hint: Follow the method that we have used to prove `sqrt(2)` ∉ Q)
Are there two distinct irrational numbers such that their difference is a rational number? Justify
Find two irrational numbers such that their sum is a rational number. Can you find two irrational numbers whose product is a rational number
Choose the correct alternative:
Given that x, y and b are real numbers x < y, b > 0, then