Question

prove that 7-2√3 or 7+3√2 is an irrational number .

Answer 1

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Answer 2

Answer:

Let 7-2√3 as rational number.

Then,7-2√3=a/b,where a and b are coprime.

Therefore,-2√3=a/b-7

√3=a/-2b -7

Here,a/-2b -7 is a rational number .

We know that √3 is an irrational number.

Hence,our assumption is not correct.

Therefore,7-2√3 is an irrational number.

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