Prove root5 – root3 as irrational
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Let us assume that root5-root3 is not an irrational numberSo root5-root3 is rational number Therefore root5-root3=a/bb=a/root5-root3=a/root5-root3*root5+root3/root5+root3=a(root5+root 3) /2b=a(root5+root 3)/2It is impossible since rational number b is equal to irrational number a(root5+root 3)/2So our assumption is wrong Therefore root 5-root 3is irrational number