问题 解答题
(1)计算:2
75
-3
27
+
12

(2)计算:2sin60°-cot30°+tan45°.
(3)解方程:x2-6x+1=0.
答案

(1)原式=10

3
-9
3
+2
3
=3
3

(2)原式=2×

3
2
-
3
3
+1

=

3
-
3
3
+1

=

2
3
3
+1;

(3)原方程可转化为(x-3)2=8

即x-3=±2

2

∴x1=3+2

2
,x2=3-2
2

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