Question

初中二次根式加减运算怎么做3根号8+2根号18-根号50根号8+根号12+根号2...

初中二次根式加减运算怎么做 3根号8+2根号18-根号50 根号8+根号12+根号2-根号3 6根号1/3-根号12+根号3 2根号20+2/5根号125+10根号0.05-6根号50 5/3（根号24-根号0.5）-8/5（根号1/8-根号6）

Answer 1

3根号8+2根号18-根号50
=3×2√2+2×3√2-5√2
=6√2+6√2-5√2
=7√2;
根号8+根号12+根号2-根号3
=2√2+2√3+√2-√3
=3√2+√3;
6根号1/3-根号12+根号3
=6×√3/3-2√3+√3;
=√3;
2根号20+2/5根号125+10根号0.05-6根号50
=2×2√5+2/5×5√5+10×√5/10-6×5√2
=4√5+2√5+√5-30√2
=7√5-30√2;
5/3（根号24-根号0.5）-8/5（根号1/8-根号6）
=5/3×(2√6-√2/2)-8/5×(√2/4-√6)
=10√6/3-5√2/6-2√2/5+8√6/5;
=50√6/15+24√6/15-25√2/30-12√2/30
=74√6/15-37√2/30;
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