Simplify 3 square root of 180+4 square root of 125-2 square root of 45

Math
3180+4125-245
Simplify each term.
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Rewrite 180 as 62⋅5.
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Factor 36 out of 180.
336(5)+4125-245
Rewrite 36 as 62.
362⋅5+4125-245
362⋅5+4125-245
Pull terms out from under the radical.
3(65)+4125-245
Multiply 6 by 3.
185+4125-245
Rewrite 125 as 52⋅5.
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Factor 25 out of 125.
185+425(5)-245
Rewrite 25 as 52.
185+452⋅5-245
185+452⋅5-245
Pull terms out from under the radical.
185+4(55)-245
Multiply 5 by 4.
185+205-245
Rewrite 45 as 32⋅5.
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Factor 9 out of 45.
185+205-29(5)
Rewrite 9 as 32.
185+205-232⋅5
185+205-232⋅5
Pull terms out from under the radical.
185+205-2(35)
Multiply 3 by -2.
185+205-65
185+205-65
Simplify by adding terms.
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Add 185 and 205.
385-65
Subtract 65 from 385.
325
325
The result can be shown in multiple forms.
Exact Form:
325
Decimal Form:
71.55417527…
Simplify 3 square root of 180+4 square root of 125-2 square root of 45

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