Evaluate square root of 32*4 square root of 75

Math
32⋅475
Rewrite 32 as 42⋅2.
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Factor 16 out of 32.
16(2)⋅(475)
Rewrite 16 as 42.
42⋅2⋅(475)
42⋅2⋅(475)
Pull terms out from under the radical.
42⋅(475)
Rewrite 75 as 52⋅3.
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Factor 25 out of 75.
42⋅(425(3))
Rewrite 25 as 52.
42⋅(452⋅3)
42⋅(452⋅3)
Pull terms out from under the radical.
42⋅(4(53))
Multiply 5 by 4.
42⋅(203)
Multiply 42(203).
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Multiply 20 by 4.
8023
Combine using the product rule for radicals.
803⋅2
Multiply 3 by 2.
806
806
The result can be shown in multiple forms.
Exact Form:
806
Decimal Form:
195.95917942…
Evaluate square root of 32*4 square root of 75

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