Simplify (5+ square root of 3)(6+ square root of 3)

Math
(5+3)(6+3)
Expand (5+3)(6+3) using the FOIL Method.
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Apply the distributive property.
5(6+3)+3(6+3)
Apply the distributive property.
5⋅6+53+3(6+3)
Apply the distributive property.
5⋅6+53+3⋅6+33
5⋅6+53+3⋅6+33
Simplify and combine like terms.
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Simplify each term.
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Multiply 5 by 6.
30+53+3⋅6+33
Move 6 to the left of 3.
30+53+6⋅3+33
Combine using the product rule for radicals.
30+53+63+3⋅3
Multiply 3 by 3.
30+53+63+9
Rewrite 9 as 32.
30+53+63+32
Pull terms out from under the radical, assuming positive real numbers.
30+53+63+3
30+53+63+3
Add 30 and 3.
33+53+63
Add 53 and 63.
33+113
33+113
The result can be shown in multiple forms.
Exact Form:
33+113
Decimal Form:
52.05255888…
Simplify (5+ square root of 3)(6+ square root of 3)

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