化簡(7-4根號3)(7+4根號3)分之1;化簡根號2-根號3分之3『化簡根號a+根號b分之a-b
題目:
化簡(7-4根號3)(7+4根號3)分之1;化簡根號2-根號3分之3『化簡根號a+根號b分之a-b
解答:
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-√
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