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Prove 5 root3 is irrational |
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Answer» Let 5√3 be a rational number. a/b=5√3 a/5b=√3a/5b is a rational number.So,√3 is also a rational number.But the fact is that √3 is a irrational number. 5√3 be an irrational number. prove that 5√3 is irrational noLet 5√3 is rational number. \'a\' and \'b\' are two co-prime factor. a/b = 5√3 a/5b=√3 : Here a/5b are a rational Number.: √3 is also a rational Number.:: but it is contradiction because we know that √3 is irrational number. : :5√3 is a irrational number. Watch the example given on the ncert book? |
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