Word Count : 112

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मान लीजिए (R=\mathbb{Z}[\sqrt{2}]={a+b\sqrt{2}\mid a,b\in\mathbb{Z}}) तथा (M={a+b\sqrt{2}\in R\mid 5\mid a \text{ तथा } 5\mid b})। स्पष्ट है कि (0=0+0\sqrt{2}\in M)। यदि (x=a+b\sqrt{2}) तथा (y=c+d\sqrt{2}) (M) के अवयव हैं, तो _______ ____ ____ ________ _____ _________ _______.
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