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1 vote
Rationalize the denominator and simplify:

12 / √7 + 2

1 Answer

1 vote
Multiply
12

7
+
2
12
7
+
2
by

7

2

7

2
7
-
2
7
-
2
.
12

7
+
2


7

2

7

2
12
7
+
2

7
-
2
7
-
2
Multiply
12

7
+
2
12
7
+
2
and

7

2

7

2
7
-
2
7
-
2
.
12
(

7

2
)
(

7
+
2
)
(

7

2
)
12
(
7
-
2
)
(
7
+
2
)
(
7
-
2
)
Expand the denominator using the FOIL method.
12
(

7

2
)

7
2
+

7


2
+
2

7

4
12
(
7
-
2
)
7
2
+
7

-
2
+
2
7
-
4
Simplify.
12
(

7

2
)
3
12
(
7
-
2
)
3
Cancel the common factor of
12
12
and
3
3
.
Tap for more steps...
4
(

7

2
)
4
(
7
-
2
)
Apply the distributive property.
4

7
+
4


2
4
7
+
4

-
2
Multiply
4
4
by

2
-
2
.
4

7

8
4
7
-
8
The result can be shown in multiple forms.
Exact Form:
4

7

8
4
7
-
8
Decimal Form:
2.58300524
User Josh Mein
by
4.2k points