Evaluate square root of 24*2 square root of 54

Math
24⋅254
Rewrite 24 as 22⋅6.
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Factor 4 out of 24.
4(6)⋅(254)
Rewrite 4 as 22.
22⋅6⋅(254)
22⋅6⋅(254)
Pull terms out from under the radical.
26⋅(254)
Rewrite 54 as 32⋅6.
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Factor 9 out of 54.
26⋅(29(6))
Rewrite 9 as 32.
26⋅(232⋅6)
26⋅(232⋅6)
Pull terms out from under the radical.
26⋅(2(36))
Multiply 3 by 2.
26⋅(66)
Multiply 26(66).
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Multiply 6 by 2.
1266
Raise 6 to the power of 1.
12(616)
Raise 6 to the power of 1.
12(6161)
Use the power rule aman=am+n to combine exponents.
1261+1
Add 1 and 1.
1262
1262
Rewrite 62 as 6.
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Use axn=axn to rewrite 6 as 612.
12(612)2
Apply the power rule and multiply exponents, (am)n=amn.
12⋅612⋅2
Combine 12 and 2.
12⋅622
Cancel the common factor of 2.
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Cancel the common factor.
12⋅622
Divide 1 by 1.
12⋅61
12⋅61
Evaluate the exponent.
12⋅6
12⋅6
Multiply 12 by 6.
72
Evaluate square root of 24*2 square root of 54

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