Evaluate 7 square root of 12-5 square root of 27+6 square root of 300

Math
712-527+6300
Simplify each term.
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Rewrite 12 as 22⋅3.
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Factor 4 out of 12.
74(3)-527+6300
Rewrite 4 as 22.
722⋅3-527+6300
722⋅3-527+6300
Pull terms out from under the radical.
7(23)-527+6300
Multiply 2 by 7.
143-527+6300
Rewrite 27 as 32⋅3.
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Factor 9 out of 27.
143-59(3)+6300
Rewrite 9 as 32.
143-532⋅3+6300
143-532⋅3+6300
Pull terms out from under the radical.
143-5(33)+6300
Multiply 3 by -5.
143-153+6300
Rewrite 300 as 102⋅3.
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Factor 100 out of 300.
143-153+6100(3)
Rewrite 100 as 102.
143-153+6102⋅3
143-153+6102⋅3
Pull terms out from under the radical.
143-153+6(103)
Multiply 10 by 6.
143-153+603
143-153+603
Simplify by adding terms.
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Subtract 153 from 143.
-3+603
Add -3 and 603.
593
593
The result can be shown in multiple forms.
Exact Form:
593
Decimal Form:
102.19099764…
Evaluate 7 square root of 12-5 square root of 27+6 square root of 300

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