发布时间:2019-07-29 16:38:48
原式
=√2/2×(8√2+√2-12√3)
=√2/2×(9√2-12√3)
=9-6√6
√2/2(2√12+4√1/8-3√48)
=√2/2(4√3+√2-12√3)
=√2/2(√2-8√3)
=1-4√6
本题:√2/2*[2√12+4√(1/8)-3√48]
=√2/2*(4√3+√2-12√3)
=2√6+1-6√6
=1-4√6
√2/2×[2√12+4√(1/8)-3√48]
=√2/2×(4√3+√2-12√3)
=√2/2×(√2-8√3)
=1-4√6
(1/2)√2*[2√12+4√(1/8)-3√48]
=(1/2)√2*(4√3+√2-12√3)
=(1/2)√2*(√2-8√3)
=(1/2)√2*√2-(1/2)√2*8√3
=1-4√6
解答
2√2(2√12+4√1/8-3√48)=2√2(2√(3*4)+√(2/16)-3√(3*16)=2√2*(2*2√3 + 1/4√2 - 3*4√3)=2√2 * (4√3+1/4√2-12√3)=2√2*(1/4√2-8√3)=2√2 * 1/4√2 - 2√2*8√3=1-16√6