Prove that 3+4✓5 is an irrational number

1.	Prove that 3+4✓5 is an irrational number
Answer» Step-by-step explanation: Let US assume that 4−53 be rational ⟹4−53=ba where a,bϵZ ⟹−53=ba−4 ⟹3=54−ba L.H.S = irrational NUMBER as 3 is a irrational number. R.H.S = rational number as RHS=LHS Hence, our ASSUMPTION is WRONG and 4−53 is a irrational

Answer»

Step-by-step explanation:

Let US assume that 4−53 be rational

⟹4−53=ba where a,bϵZ

⟹−53=ba−4

⟹3=54−ba

L.H.S = irrational NUMBER as 3 is a irrational number.

R.H.S = rational number

as RHS=LHS

Hence, our ASSUMPTION is WRONG and 4−53 is a irrational

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Prove that 3+4✓5 is an irrational number​

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Prove that 3+4✓5 is an irrational number