Question

prove that 5-√3 is an irrational number​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

consider 5-$consider 5-\sqrt{3} as rational number\\ then 5-\sqrt{3}=p/q\\ square on both sides\\then \\25-\sqrt[10]{3}=p^{2}/q^{2}\\ then\\\sqrt[1]{3}=-p^2+25q^2/q^2\\ as \sqrt{3} is irrational then -p^2+25q^2/q^2 is also irrational \\then 5-\sqrt{3} is irrational$