Write two rational and three irrational numbers that are between 3 and 4 with explanation.

avissidep 2021-01-06 Answered
Write two rational and three irrational numbers that are between 3 and 4 with explanation.
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saiyansruleA
Answered 2021-01-07 Author has 110 answers

The given numbers are 3 and 4.
There can be many rational numbers between 3 and 4.
The given numbers can be written as 344=124and444=164.
It is known that 124<134<144<154<164.
Therefore, the two rational numbers between 3 and 4 are 134and144.
The squares of the given numbers are 32=9 and 42=16.
So, the square-roots of all integers between 9 and 16 are irrational.
The square roots of the numbers 10,11,12,13,14 and 15 are irrational.
Therefore, the three irrational numbers between 3 and 4 are 10,11and12

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