Simplify 3 square root of 24+2 square root of 45+3 square root of 24

Math
324+245+324
Simplify each term.
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Rewrite 24 as 22⋅6.
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Factor 4 out of 24.
34(6)+245+324
Rewrite 4 as 22.
322⋅6+245+324
322⋅6+245+324
Pull terms out from under the radical.
3(26)+245+324
Multiply 2 by 3.
66+245+324
Rewrite 45 as 32⋅5.
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Factor 9 out of 45.
66+29(5)+324
Rewrite 9 as 32.
66+232⋅5+324
66+232⋅5+324
Pull terms out from under the radical.
66+2(35)+324
Multiply 3 by 2.
66+65+324
Rewrite 24 as 22⋅6.
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Factor 4 out of 24.
66+65+34(6)
Rewrite 4 as 22.
66+65+322⋅6
66+65+322⋅6
Pull terms out from under the radical.
66+65+3(26)
Multiply 2 by 3.
66+65+66
66+65+66
Add 66 and 66.
126+65
The result can be shown in multiple forms.
Exact Form:
126+65
Decimal Form:
42.81028477…
Simplify 3 square root of 24+2 square root of 45+3 square root of 24

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