prove that root 11 + root 7 is an irrational number
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Step-by-step explanation:
let us assume to the contrary that 11+√7 is rational such that:
=>11+√7 = p/q
=>√7=p/q - 11
=>√7= (p-11q)/q
Since, √7 is irrational but we have prove that √7 is equal to a rational number, i.e in the form p/q
This contradiction arose due to our wrong assumption.
therefore, 11+√7 is an irrational
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