题目内容
(2012•深圳模拟)计算与化简
(1)(
+
)÷
(2)a2
+3a
-
.
(1)(
| 48 |
| 1 |
| 4 |
| 12 |
| 27 |
(2)a2
| 8a |
| 50a3 |
| a |
| 2 |
| 18a3 |
分析:(1)先化简二次根式,再进行计算即可;
(2)先化简二次根式,再合并同类二次根式即可.
(2)先化简二次根式,再合并同类二次根式即可.
解答:解:(1)原式=(4
+
)÷3
=
×
;
(2)原式=2a2
+3a•5a
-
×3a
=
.
| 3 |
| ||
| 2 |
| 3 |
=
9
| ||
| 2 |
| 1 | ||
3
|
|
| 3 |
| 2 |
(2)原式=2a2
| 2a |
| 2a |
| a |
| 2 |
| 2a |
=
| 31a2 |
| 2 |
| 2a |
点评:本题考查了二次根式的混合运算,二次根式的化简是解此题的关键.
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