Show that V5 - 7 is an irrational number .
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V5 - 7 is an irrational number
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let us assume root5-7 is a rational number
root5-7 =a÷b
root5=a÷b+7
root5=a+7b÷b
since a+7b÷b is a rational number so. root 5 is also rational but root 5 is a irrational but out contradicts our assumption is wrong
hence root 5-7 is irrational number
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