Question

Prove √5 is irrational and hence so the 3+√5 is also irrational
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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.

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

since, √5 can not be represented in the form of p/q where p and q are integer and q is not equal to 0. so √5 is irrational.

and, rational number + irrational number =irrational number

so 3+√5 is also irrational.

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