Question

初二数学√12-√1/3+1/5√75= √24-√3/2+√2/3-√6= √3(3√6-√12+√1/3=

Answer 1

√12-√1/3+1/5√75
=2√3-√3/3+(1/5)×5√3
=2√3-√3/3+√3
=8√3/3;
√24-√3/2+√2/3-√6
=2√6-√6/2+√6/3-√6
=√6-√6/6
=5√6/6;
√3(3√6-√12+√1/3=
=√3(3√6-2√3+√3/3)
=9√2-6+1
=9√2-5;

您好，很高兴为您解答，skyhunter002为您答疑解惑
如果本题有什么不明白可以追问，如果满意记得采纳
如果有其他问题请采纳本题后另发点击向我求助，答题不易，请谅解，谢谢。
祝学习进步

追问

﹙2√5-1﹚²
﹙3√2-2√3﹚﹙2√3+3√2﹚
2/3√32a³+6a√a/18-3a²√2/a

追答

﹙2√5-1﹚²
=20+1-4√5
=21-4√5;

﹙3√2-2√3﹚﹙2√3+3√2﹚
=18-12
=6;

2/3√32a³+6a√a/18-3a²√2/a
=(8a/3)√2a+a√2a-3a√2a
=2a√2a/3;

追问

﹙3√2-2√3﹚﹙2√3+3√2﹚
=18-12为什么﹙3√2-2√3﹚﹙2√3+3√2﹚=18-12

追答

﹙3√2-2√3﹚﹙2√3+3√2﹚

=（3√2-2√3）（3√2+2√3）
=（3√2）²-（2√3）²
=18-12
=6；

追问

1/4√32a³+6a√a/18-3a²√2/a

﹙2√2+3√3-√6﹚﹙2√2-3√3-√6﹚

追答

可以采纳了，我睡了

Answer 2

√12-√1/3+1/5√75
=2√3-1/3√3+√3
=8/3(√3)

√24-√3/2+√2/3-√6
=2√6-1/2√6+1/3√6-√6
=5/6(√6)

√3(3√6-√12+√1/3)
=9√2-6+1
=-5+9√2

追问

﹙2√5-1﹚²
﹙3√2-2√3﹚﹙2√3+3√2﹚
2/3√32a³+6a√a/18-3a²√2/a