Simplify (5+ square root of 7)(2+ square root of 5)

Math
(5+7)(2+5)
Expand (5+7)(2+5) using the FOIL Method.
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Apply the distributive property.
5(2+5)+7(2+5)
Apply the distributive property.
5⋅2+55+7(2+5)
Apply the distributive property.
5⋅2+55+7⋅2+75
5⋅2+55+7⋅2+75
Simplify each term.
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Multiply 5 by 2.
10+55+7⋅2+75
Move 2 to the left of 7.
10+55+2⋅7+75
Combine using the product rule for radicals.
10+55+27+7⋅5
Multiply 7 by 5.
10+55+27+35
10+55+27+35
The result can be shown in multiple forms.
Exact Form:
10+55+27+35
Decimal Form:
32.38792229…
Simplify (5+ square root of 7)(2+ square root of 5)

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