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The sum, or difference, of two Irrational Numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.
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What is the sum or difference of the any two irrational numbers?
The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.
The rational numbers are a subset of the irrational numbers?
No, they are complementary sets. No rational number is irrational and no irrational number is rational.Irrational means not rational.
What is the difference between between integer and numbers?
An integer is a whole number. There are lots of other numbers, such as fractions or rationals, and irrational numbers (such as the square root of 2)
Is real number is always a rational number?
They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.
How are perfect squares and irrational squares same?
No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.
