Insert two rational numbers and two irrational numbers between and .

Since, square of = 3 and square of = 8. (i) Choose any two rational numbers between 3 and 8 each of which is a perfect square. The square roots of such numbers will be requires rational numbers. Let the numbers be 4 and 5.76, where = 2 and = 2.4 ∴ Required rational numbers are 2 and 2.4. (ii) Now, choose any two rational numbers between 3 and 8 each of which is not a perfect square. The square root of such numbers will be the required irrational numbers. Let the numbers be 5 and 6. ∴ and are the required irrational numbers.

Insert a rational number and an irrational number between 5 and 6.

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Insert three irrational numbers between 5 and 7.

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Mathematics

Insert two rational numbers and two irrational numbers between and .

Rational Irrational Nos

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Insert a rational number and an irrational number between 5 and 6.

Insert three irrational numbers between 5 and 7.