问题 解答题
把下列各式分母有理化:
(1)
2
3
48
;(2)
3
a+2

(3)
2
5
-
3
;(4)
x-y
x
+
y

(5)
x-2+
x2-4
x+2+
x2-4
(x>2)
答案

(1)

2
3
48
=
2
3×4
3
=
2
3
12
3
3
=
6
36

(2)

3
a+2
=
3
a+2
a+2
a+2
=
3
a+2
a+2

(3)

2
5
-
3
=
2(
5
+
3
(
5
-
3
)(
5
+
3
)   
=
2(
5
+
3
5-3
5
+
3

(4)

x-y
x
+
y
=
(
x
+
y
)(
x
-
y
)   
x
+
y
=
x
-
y

(5)

x-2+
x2-4
x+2+
x2-4
(x>2)=
(
x-2
)
2
+
(x+2)(x-2)
(
x+2
)
2
+
(x+2)(x-2)
=
x-2
(
x-2
+
x+2
x+2
(
x+2
+
x-2
=
x-2
x+2
=
x2-4
x+2

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