Simplify 8 square root of 5- square root of 45- square root of 80

Math
85-45-80
Simplify each term.
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Rewrite 45 as 32⋅5.
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Factor 9 out of 45.
85-9(5)-80
Rewrite 9 as 32.
85-32⋅5-80
85-32⋅5-80
Pull terms out from under the radical.
85-(35)-80
Multiply 3 by -1.
85-35-80
Rewrite 80 as 42⋅5.
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Factor 16 out of 80.
85-35-16(5)
Rewrite 16 as 42.
85-35-42⋅5
85-35-42⋅5
Pull terms out from under the radical.
85-35-(45)
Multiply 4 by -1.
85-35-45
85-35-45
Simplify by adding terms.
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Subtract 35 from 85.
55-45
Subtract 45 from 55.
5
5
The result can be shown in multiple forms.
Exact Form:
5
Decimal Form:
2.23606797…
Simplify 8 square root of 5- square root of 45- square root of 80

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