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The square root of any integer (except for a perfect square) is an irrational number. Other well-known Irrational Numbers are pi = 3.14159265... and e = 2.71828...
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What do rational and irrational have in common?
They are real numbers.
Are some irrational numbers not real?
No. Irrational numbers by definition fall into the category of Real Numbers.
Why are some numbers irrational?
There are numbers which cannot be expressed as ratios of two integers. These are called irrational numbers.
Is every irrational number also real?
Yes, every irrational number is also a real number. Real numbers include all the numbers on the number line, which consists of both rational and irrational numbers. Rational numbers can be expressed as fractions, whereas irrational numbers cannot be expressed as simple fractions. So, while all irrational numbers are real numbers, not all real numbers are irrational—some are rational.
Some rational numbers can be irrational numbers?
No, rational number are ones that can be written as a/b where a and b are integers. Irrational numbers are those real number that are NOT rational.
