Simplify 2 square root of 27+2 square root of 12

Math
227+212
Simplify each term.
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Rewrite 27 as 32⋅3.
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Factor 9 out of 27.
29(3)+212
Rewrite 9 as 32.
232⋅3+212
232⋅3+212
Pull terms out from under the radical.
2(33)+212
Multiply 3 by 2.
63+212
Rewrite 12 as 22⋅3.
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Factor 4 out of 12.
63+24(3)
Rewrite 4 as 22.
63+222⋅3
63+222⋅3
Pull terms out from under the radical.
63+2(23)
Multiply 2 by 2.
63+43
63+43
Add 63 and 43.
103
The result can be shown in multiple forms.
Exact Form:
103
Decimal Form:
17.32050807…
Simplify 2 square root of 27+2 square root of 12

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