Question

find five irrational numbers between 1 and 2.explanation.irrational​

Answer 1

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Question : -

Find five irrational numbers between 1 and 2.

Answer : -

Given two numbers 1 and 2

We need to find a rational number between 1 and 2

Solution Let the two given numbers be a and b respectively a= 1 and b=2

We know that the rational number between a and b is given by (a + b)/2

So the rational number between 1 and 2 = (1 + 2)/2 = 3/2

Then, Rational number between 1 and 3/2 = [1 + ( 3/2 )]/2 = 5/4

Then Rational number between 1 and 5/4 = [1 + ( 5/4 )]/2 = 9/8

Then Rational number between 3/2 and 2 = [ (3/2) + 2]/2 = 7/4

Then Rational number between 7/4 and 2 = [ (7/4) + 2]/2 = 15/8 Hence the five rational numbers between 1 and 2 are 3/2, 5/4, 7/4, 9/8, and 15/8.

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IRRATIONAL NUMBER : -

An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.

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I hope my answer will help you dear..

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