Question

Prove that the number is irrational
$15 - 2 \sqrt{7}$
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Answer 1

Answer:

First we will study what are irrational Numbers

the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

Properties of irrational Numbers :-

• Taking the sum of an irrational number and a rational number gives an irrational number
• Multiplying an irrational number with any nonzero rational number gives an irrational number.
• The lowest common multiple (LCM) of two irrational numbers may or may not exist.
• The sum or the product of two irrational numbers may be rational

Now your question,

$15 - 2\sqrt{7}$

It is not Rational Number because the above properties of irrational Numbers doesn't go with this equation

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