# Simplify square root of 7+2 square root of 5*(4 square root of 7)+ square root of 5

7+25⋅(47)+5
Multiply 4 by 2.
7+857+5
Combine using the product rule for radicals.
7+87⋅5+5
Multiply 7 by 5.
7+835+5
The result can be shown in multiple forms.
Exact Form:
7+835+5
Decimal Form:
52.21045755…
Simplify square root of 7+2 square root of 5*(4 square root of 7)+ square root of 5

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