Find three different irrational numbers between ⅔ and ¾

By Ritesh|Updated : November 8th, 2022

The three different irrational numbers between ⅔ and ¾ are 33/48, 34/48, and 35/48. Now we have to estimate the required three numbers: The given range of rational numbers is ⅔ and ¾. On both the numerator and the denominator, we obtain, by multiplying the first number by 16 and the second number by 12, 32/48 and 36/48. The three rational numbers between them are since the denominator is the same. 33/48, 34/48 and 35/48

Irrational Numbers

Real numbers that are irrational cannot be expressed using straightforward fractions. A ratio, such as p/q, where p and q are integers, and q is not equal to 0, cannot be used to indicate an irrational number. It defies logic in terms of numbers. Ordinarily, irrational numbers are written as RQ, where the backward slash symbol stands for "set minus." The difference between a set of real numbers and a set of rational numbers can alternatively be written as R - Q.

Pi, Euler's number, and the Golden ratio are examples of notable irrational numbers. Not all square roots, cube roots, and other numbers exhibit irrationality.

Hence, the three different irrational numbers between ⅔ and ¾ are 33/48, 34/48 and 35/48

Summary:

Find three different irrational numbers between ⅔ and ¾

The three different irrational numbers between ⅔ and ¾ are 33/48, 34/48, and 35/48. A ratio p/q, where p and q are integers and the q value is not equal to 0, does not indicate an irrational number.

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