Question

prove that ✓5 is irrational and hence show that 3+✓5 is also irrational​

Answer 1

Answer:

Say, √5 is a rational number. ∴ It can be expressed in the form p/q where p,q are co-prime integers. Hence, p,q have a common factor 5. ... Therefore √5+3 is also irrational because sum of a rational and an irrational number is always an irrational number.

Answer 2

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Hence proved