Evaluate 4 square root of 12* square root of 54

Math
412⋅54
Rewrite 12 as 22⋅3.
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Factor 4 out of 12.
44(3)⋅54
Rewrite 4 as 22.
422⋅3⋅54
422⋅3⋅54
Pull terms out from under the radical.
4(23)⋅54
Multiply 2 by 4.
83⋅54
Rewrite 54 as 32⋅6.
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Factor 9 out of 54.
83⋅9(6)
Rewrite 9 as 32.
83⋅32⋅6
83⋅32⋅6
Pull terms out from under the radical.
83⋅(36)
Multiply 83(36).
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Multiply 3 by 8.
2436
Combine using the product rule for radicals.
246⋅3
Multiply 6 by 3.
2418
2418
Rewrite 18 as 32⋅2.
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Factor 9 out of 18.
249(2)
Rewrite 9 as 32.
2432⋅2
2432⋅2
Pull terms out from under the radical.
24(32)
Multiply 3 by 24.
722
The result can be shown in multiple forms.
Exact Form:
722
Decimal Form:
101.82337649…
Evaluate 4 square root of 12* square root of 54

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