化简(7-4根号3)(7+4根号3)分之1;化简根号2-根号3分之3‘化简根号a+根号b分之a-b
问题描述:
化简(7-4根号3)(7+4根号3)分之1;化简根号2-根号3分之3‘化简根号a+根号b分之a-b
答
答:
1/[(7-4√3)*(7+4√3)]
=1/(49-48)
=1/1
=1
3/(√2-√3)
=3(√2+√3)/[(√2+√3)(√2-√3)]
=3(√2+√3)/(2-3)
=-3√2-3√3
(a-b)/(√a+√b)
=(√a+√b)(√a-√b)/(√a+√b)
=√a-√b