Question

inset two rational and two irrational numbers between 2.25 and 2.26​

Answer 1

Step-by-step explanation:

two rationals between 2.25 and 2.26 are 2.255 and 2.256.

irrationals can be 2.25010110111011110..... and 2.510100100010000....

Answer 2

Concept

Rational numbers are defined as numbers which can be expressed in p/q form whereas an irrational number does not obey this law or property.

Given

Two positive integers 2.25 and 2.26.

Find

Two rational and irrational numbers between 2.25 and 2.26.

Solution

• To determine the rational numbers must lie between 2.25 and 2.26. Hence by our choice we select 2.2575 and 2.25777.
• To determine irrational numbers are roots of numbers which lie between square root of given numbers i.e. 1.50 and 1.5033

• By our choice  √2.251 and  √2.257 are two irrational numbers between 2.25 and 2.26.

Hence the two rational and irrational numbers are 2.2575 , 2.25777 and  √2.251 ,  √2.257 respectively.

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