5minus root 10 under 5+root 10 minus 5+root 10 under 5 minus root 10
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Your starting expression (probably) looks like this
5
√
6
−
4
√
10
−
√
6
+
12
√
10
You can regroup the like-terms to get
5
√
6
−
√
6
−
4
√
10
+
12
√
10
Now you can factorize like-terms to get
√
6
⋅
(
5
−
1
)
+
√
10
⋅
(
12
−
4
)
4
√
6
+
8
√
10
All you can do now is factor this expression
4
√
6
+
4
⋅
2
⋅
√
10
=
4
⋅
(
√
6
+
2
√
10
)
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