Math, asked by Zeyt, 1 month ago

find 3 A.M. between 5 and 7​

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Answered by shoaib61
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Find the five rational numbers between 3 and 4.

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Hint: The rational number between a and b is (a+b)2, use this equation to find the rational numbers between the given two numbers. Rational numbers are the numbers which can be written as pq where p and q are integers and q≠0.

Complete step-by-step solution -

Given, to find 5 rational numbers between 3 and 4.

As, we know, the rational number between a and b is given by, (a+b)2

Hence, the rational number between 3 and 4 is (3+4)2=72=3.5

Rational number between 3 and 7/2 is ⎡⎣⎢⎢⎢3+(72)2⎤⎦⎥⎥⎥=134=3.25

Rational number between 3 and 13/4 is ⎡⎣⎢⎢⎢3+(134)2⎤⎦⎥⎥⎥=258=3.125

Rational number between 3 and 25/8 is ⎡⎣⎢⎢⎢3+(258)2⎤⎦⎥⎥⎥=4916=3.0625

Rational number between 25/8 and 2 is ⎡⎣⎢⎢⎢(258)+42⎤⎦⎥⎥⎥=5716=3.5625

Therefore, five rational numbers between 3 and 4 are 7/2, 13/4, 25/8, 49/16 and 57/16.

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Answered by ItzMissPayal
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