NUMBER SYSTEMS
Example of each of two irrational numbers, where:
(i) Difference is a national number,
Answers
Answered by
1
4+
2
,2+
2
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator and the denominator are whole numbers.
On the other hand, all numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction.
So, let us take two irrational numbers a=4+
2
and b=2+
2
and we now calculate a−b as follows:
a−b=(4+
2
)−(2+
2
)=4+
2
−2−
2
=2=
1
2
Therefore, the difference of two irrational numbers a and b is 2 and from the above defination of rational numbers, we get that 2 is a rational number.
Hence, the difference of two irrational numbers 4+
2
and 2+
2
is a rational number.
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