simplify 7sqrt3+4sqrt27-sqrt12
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Step-by-step explanation:
First, rewrite the terms under the radicals as:
2
√
4
⋅
3
+
4
√
9
⋅
3
⇒
2
√
4
√
3
+
4
√
9
√
3
⇒
(
2
⋅
2
)
√
3
+
(
4
⋅
3
)
√
3
⇒
4
√
3
+
12
√
3
Now, we can factor out the common term giving:
(
4
+
12
)
√
3
⇒
16
√
3
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