Simplify (3+ square root of 7)(2+ square root of 6)

Math
(3+7)(2+6)
Expand (3+7)(2+6) using the FOIL Method.
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Apply the distributive property.
3(2+6)+7(2+6)
Apply the distributive property.
3⋅2+36+7(2+6)
Apply the distributive property.
3⋅2+36+7⋅2+76
3⋅2+36+7⋅2+76
Simplify each term.
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Multiply 3 by 2.
6+36+7⋅2+76
Move 2 to the left of 7.
6+36+2⋅7+76
Combine using the product rule for radicals.
6+36+27+7⋅6
Multiply 7 by 6.
6+36+27+42
6+36+27+42
The result can be shown in multiple forms.
Exact Form:
6+36+27+42
Decimal Form:
25.12071254…
Simplify (3+ square root of 7)(2+ square root of 6)

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