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Prove that 7 − 2√3 is …

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

Posted by King . 5 months, 2 weeks ago

CBSE > Class 10 > Mathematics

2 answers

Harsh Chaudhari 5 months, 2 weeks ago

Let's assume tha 7-2√3 is rational Now, 7-2√3 = a/b (where b is not equal to 0) 2√3 = a+7/b √3. = a+7/2b We can write b in the form √3/b So, if √3 can be written in the form of p/q so it's rational. But it's universal fact tha √3 is irrational "it can not write in form of p/q" Are assumption is wrong that 7-2√3 is rational. Hence, it's not rational than its irrational. Hence, Porved

Khushal Kamble 5 months, 2 weeks ago

Proof

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