Simplify 20/( square root of 12)

Math
2012
Simplify the denominator.
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Rewrite 12 as 22⋅3.
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Factor 4 out of 12.
204(3)
Rewrite 4 as 22.
2022⋅3
2022⋅3
Pull terms out from under the radical.
2023
2023
Cancel the common factor of 20 and 2.
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Factor 2 out of 20.
2⋅1023
Cancel the common factors.
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Factor 2 out of 23.
2⋅102(3)
Cancel the common factor.
2⋅1023
Rewrite the expression.
103
103
103
Multiply 103 by 33.
103⋅33
Combine and simplify the denominator.
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Multiply 103 and 33.
10333
Raise 3 to the power of 1.
103313
Raise 3 to the power of 1.
1033131
Use the power rule aman=am+n to combine exponents.
10331+1
Add 1 and 1.
10332
Rewrite 32 as 3.
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Use axn=axn to rewrite 3 as 312.
103(312)2
Apply the power rule and multiply exponents, (am)n=amn.
103312⋅2
Combine 12 and 2.
103322
Cancel the common factor of 2.
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Cancel the common factor.
103322
Divide 1 by 1.
10331
10331
Evaluate the exponent.
1033
1033
1033
The result can be shown in multiple forms.
Exact Form:
1033
Decimal Form:
5.77350269…
Simplify 20/( square root of 12)

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