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2.Prove that if a+b^½ = c+d^½,where a,b,c,d ε N and both b and d are not perfect squares,then a=c and b=d.
請問點証(詳解唔該)
感謝各位既幫忙
更新1:
先感謝☂雨後陽光☀的熱心回答 ============================ 但我想問題２中當用反證時，個and唔係應變成 or 架咩？ ============================================== 而我既做法係先suppose左a ≠ c , √b = √d or a = c , √b ≠ √d 之後就用返 a+b^½ = c+d^½ 跟住就係因為個suppose a ≠ c , √b = √d 所以就變成 a+d^½ = c+d^½ a=c 跟住我就話同個suppose有茅盾 (咁唔知又得唔得)
更新2:
============================================== 如果唔得既,可唔可以指點下我,以上係邊到做錯左 (因為我既觀念上好薄弱的) 只求指點(唔該&感謝各位既幫忙)
