Question

show that 6 2 is an irrational​

Answer 1

Answer:

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Explanation:

Let 6+root 2 is a rational number then we get that a and b two co-prime integers.

Such that 6+root 2=a/b where b not equal

root 2 = a/b - 6

root 2 =(6-a/b)

Since a and b are two integers.

Therefore (6-a/b)is a rational number and So root also is a rational number.

But it is contradiction to fact root 2 =(6-a/b) is rational number.

So we that 6+root 2 is an irrational number.

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