Simplify 9 square root of 20+2 square root of 45

Math
920+245
Simplify each term.
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Rewrite 20 as 22⋅5.
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Factor 4 out of 20.
94(5)+245
Rewrite 4 as 22.
922⋅5+245
922⋅5+245
Pull terms out from under the radical.
9(25)+245
Multiply 2 by 9.
185+245
Rewrite 45 as 32⋅5.
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Factor 9 out of 45.
185+29(5)
Rewrite 9 as 32.
185+232⋅5
185+232⋅5
Pull terms out from under the radical.
185+2(35)
Multiply 3 by 2.
185+65
185+65
Add 185 and 65.
245
The result can be shown in multiple forms.
Exact Form:
245
Decimal Form:
53.66563145…
Simplify 9 square root of 20+2 square root of 45

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