can anyone tell me the answer i will it as brilliant..
question no. 1
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Step-by-step explanation:
Provided √5 is irrational
Let us prove by contradiction method
Let us assume (4 + √5) is rational ,then there exists two unique integers
a and b such that 4 +√5 = a/b ( where a and b are co primes and b≠0)
4 + √5 = a/b
⇒√5 = a - 4b /b ( taking lcm)
a - 4b / b is a rational number therefore LHS = RHS and √5 is rational
But this is a contradiction since √5 is irrational
∴Our assumption is wrong and 4 + √5 is irrational
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