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Given that √2 is irrational,prove that (5+3√2) is an irrational no. |
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Answer» Let 5 + 3 √2 be a rational number= 5+3√2 = a= 3√2 = a-5= √2 = a-5/3Now, here a-5 / 3 is a rational number.Therefore root 2 is also a rational number.But also we know that root 2 is an irrational number.So our assumption was wrong,Therefore 5 + 3 root 2 is an irrational numberHence proved✓ Bro in dono question ko sath me prove karna he ya alag alaf |
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