Rationalize the denominator and simplify:

12 / √7 + 2

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
…