Simplify square root of 112/12

Math
11212
Cancel the common factor of 112 and 12.
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Factor 4 out of 112.
4(28)12
Cancel the common factors.
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Factor 4 out of 12.
4⋅284⋅3
Cancel the common factor.
4⋅284⋅3
Rewrite the expression.
283
283
283
Rewrite 283 as 283.
283
Simplify the numerator.
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Rewrite 28 as 22⋅7.
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Factor 4 out of 28.
4(7)3
Rewrite 4 as 22.
22⋅73
22⋅73
Pull terms out from under the radical.
273
273
Multiply 273 by 33.
273⋅33
Combine and simplify the denominator.
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Multiply 273 and 33.
27333
Raise 3 to the power of 1.
273313
Raise 3 to the power of 1.
2733131
Use the power rule aman=am+n to combine exponents.
27331+1
Add 1 and 1.
27332
Rewrite 32 as 3.
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Use axn=axn to rewrite 3 as 312.
273(312)2
Apply the power rule and multiply exponents, (am)n=amn.
273312⋅2
Combine 12 and 2.
273322
Cancel the common factor of 2.
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Cancel the common factor.
273322
Divide 1 by 1.
27331
27331
Evaluate the exponent.
2733
2733
2733
Simplify the numerator.
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Combine using the product rule for radicals.
23⋅73
Multiply 3 by 7.
2213
2213
The result can be shown in multiple forms.
Exact Form:
2213
Decimal Form:
3.05505046…
Simplify square root of 112/12

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