Question

Show that 3+/7 is an irrational
given
that is 1
no given that root 7 is irrational


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Answer 1

Answer:

Hope it helps.............

Answer 2

Answer:

We have to prove that 3+ √7 is irrational

let us assume the opposite, that 3+ √7 is rational.

Hence 3+ √7 can be written in the form a/b where a and b are co-prime and b not equal to 0

Hence 3+ √7=a/b

⇒ √7=a/b-3

⇒ √7=(a-3b)/b

where √7 is irrational and (a-3b) is rational

Since,rational not equal to irrational.

This is a contradiction.

∴ Our assumption is incorrect.

Hence 3+ √7 is irrational.

Hence proved.