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. Prove that 7-2√3 is an …

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. Prove that 7-2√3 is an irrational number.

Posted by Bhumika Bhanvihal 4 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 3 months ago

Let assume that 7-2root3 be rational and rational numbers are in the form of p/q form.

We know that root 3 is irrational and not p/q form. It contradicts the statement that it is irrational as it is p/q form.
Subtraction and multiplication of irrational number form irrational number so 7-2root3 is irrational.

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