How to prove 2+√7 as irrational...
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Answered by
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Step-by-step explanation:
Proof : As we know √7 = 2.645.....
so we proved √7 as an irrational number.
We know multiplying irrational and a rational number is also irrational so 2 * √7 will also be irrational.
So we proved 2√7 as an irrational number.
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Answered by
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Let us assume that 2+√7 is rational , so it can be in the form of p/q where q is not equal to zero and both p and q are co-primes.
2+√7 = p/q
√7 = p/q - 2
√7 = p - 2q/q
As p/q is rational so p - 2q/q is also rational , but √7 is irrational . This contradicts our assumption is wrong. So, 2+√7 is irrational.
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