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प्रश्न
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.
उत्तर
No, the square roots of all positive integers are not irrational. For example, `sqrt4 = 2` is a rational number.
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संबंधित प्रश्न
Examine, whether the following number are rational or irrational:
`sqrt4`
Examine, whether the following number are rational or irrational:
`sqrt3+sqrt5`
Examine, whether the following number are rational or irrational:
`(sqrt2-2)^2`
Write a pair of irrational numbers whose sum is irrational.
Write a pair of irrational numbers whose product is irrational.
Prove that `2 + 3sqrt(3)` is an irrational number when it is given that `sqrt(3)` is an irrational number.
Compare the following:
`root(4)(12) and root(3)(15)`
Represent the number `sqrt(7)` on the number line.
The square of an irrational number is always rational.
Classify the following number as rational or irrational with justification:
1.010010001...
