Question

Prove that 5+√7/3 is an irrational number, given that √7 is an irrational number
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Answer 1

Step-by-step explanation:

Let given no is rational

so 3+√7/5=p/q

√7=5p/q-3

√7=5p-3q/q

hence 5p-3q/qis rational it's mean that √7is also rational, but we know that √7 is irrational this contradict our assumption that 3+√7/5 is rational , hence it is irrational.

Answer 2

$\huge\fbox\colorbox{lime}{╆ AɴSᴡᴇʀ╅}$

Hence, 5+7 is an irrational number.