Simplify 6 square root of 48-2 square root of 32+ square root of 27

Math
648-232+27
Simplify each term.
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Rewrite 48 as 42⋅3.
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Factor 16 out of 48.
616(3)-232+27
Rewrite 16 as 42.
642⋅3-232+27
642⋅3-232+27
Pull terms out from under the radical.
6(43)-232+27
Multiply 4 by 6.
243-232+27
Rewrite 32 as 42⋅2.
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Factor 16 out of 32.
243-216(2)+27
Rewrite 16 as 42.
243-242⋅2+27
243-242⋅2+27
Pull terms out from under the radical.
243-2(42)+27
Multiply 4 by -2.
243-82+27
Rewrite 27 as 32⋅3.
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Factor 9 out of 27.
243-82+9(3)
Rewrite 9 as 32.
243-82+32⋅3
243-82+32⋅3
Pull terms out from under the radical.
243-82+33
243-82+33
Add 243 and 33.
273-82
The result can be shown in multiple forms.
Exact Form:
273-82
Decimal Form:
35.45166330…
Simplify 6 square root of 48-2 square root of 32+ square root of 27

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