Question

prove that 7+√2 is an irrational number​

Answer 1

Answer:

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Answer 2

Answer:

Assume that 7+√2 is rational.

∴7+√2=a/b ,where a and b are co-primes.

∴ 7+a/b=√2

√2=7b+a/b

∴ since a and b are integers 7b+a/b is rational.

√2 is also rational which contradicts the fact that √2 is irrational.

∴ our assumption is wrong.

∴7+√2 is irrational.

hence proved

Step-by-step explanation: