Multiply (5+ square root of 5)^2

Math
(5+5)2
Rewrite (5+5)2 as (5+5)(5+5).
(5+5)(5+5)
Expand (5+5)(5+5) using the FOIL Method.
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Apply the distributive property.
5(5+5)+5(5+5)
Apply the distributive property.
5⋅5+55+5(5+5)
Apply the distributive property.
5⋅5+55+5⋅5+55
5⋅5+55+5⋅5+55
Simplify and combine like terms.
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Simplify each term.
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Multiply 5 by 5.
25+55+5⋅5+55
Move 5 to the left of 5.
25+55+5⋅5+55
Combine using the product rule for radicals.
25+55+55+5⋅5
Multiply 5 by 5.
25+55+55+25
Rewrite 25 as 52.
25+55+55+52
Pull terms out from under the radical, assuming positive real numbers.
25+55+55+5
25+55+55+5
Add 25 and 5.
30+55+55
Add 55 and 55.
30+105
30+105
The result can be shown in multiple forms.
Exact Form:
30+105
Decimal Form:
52.36067977…
Multiply (5+ square root of 5)^2

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