Simplify square root of 125- square root of 45+2 square root of 5

Math
125-45+25
Simplify each term.
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Rewrite 125 as 52⋅5.
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Factor 25 out of 125.
25(5)-45+25
Rewrite 25 as 52.
52⋅5-45+25
52⋅5-45+25
Pull terms out from under the radical.
55-45+25
Rewrite 45 as 32⋅5.
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Factor 9 out of 45.
55-9(5)+25
Rewrite 9 as 32.
55-32⋅5+25
55-32⋅5+25
Pull terms out from under the radical.
55-(35)+25
Multiply 3 by -1.
55-35+25
55-35+25
Simplify by adding terms.
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Subtract 35 from 55.
25+25
Add 25 and 25.
45
45
The result can be shown in multiple forms.
Exact Form:
45
Decimal Form:
8.94427190…
Simplify square root of 125- square root of 45+2 square root of 5

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