Math, asked by murgewala975, 1 year ago

Let a,b,c,d be positive rationals such that a + root b = c + root d, then either a = c and b = d or 'b' and 'd' are squares of rationals.

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Answered by Anonymous
3
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Answered by Anonymous
10
hay
dear user

Given a, b, c, and d are positive rational numbers such that a+_/b=c+_/d

suppose That a=c so,

a + \sqrt{b} = c + \sqrt{d } \\ a + \sqrt{b} = a + \sqrt{d} \\ \sqrt{b } = \sqrt{d} \\ b = d

I hope it's help you
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