Evaluate fourth root of 50* square root of 80

Math
504⋅80
Rewrite 80 as 42⋅5.
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Factor 16 out of 80.
504⋅16(5)
Rewrite 16 as 42.
504⋅42⋅5
504⋅42⋅5
Pull terms out from under the radical.
504⋅(45)
Multiply 504(45).
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Rewrite the expression using the least common index of 4.
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Use axn=axn to rewrite 5 as 512.
4(504⋅512)
Rewrite 512 as 524.
4(504⋅524)
Rewrite 524 as 524.
4(504524)
4(504524)
Combine using the product rule for radicals.
450⋅524
Raise 5 to the power of 2.
450⋅254
Multiply 50 by 25.
412504
412504
Rewrite 1250 as 54⋅2.
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Factor 625 out of 1250.
4625(2)4
Rewrite 625 as 54.
454⋅24
454⋅24
Pull terms out from under the radical.
4(524)
Multiply 5 by 4.
2024
The result can be shown in multiple forms.
Exact Form:
2024
Decimal Form:
23.78414230…
Evaluate fourth root of 50* square root of 80

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