Multiply (4+2 square root of 6)(4+5 square root of 10)

Math
(4+26)(4+510)
Expand (4+26)(4+510) using the FOIL Method.
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Apply the distributive property.
4(4+510)+26(4+510)
Apply the distributive property.
4⋅4+4(510)+26(4+510)
Apply the distributive property.
4⋅4+4(510)+26⋅4+26(510)
4⋅4+4(510)+26⋅4+26(510)
Simplify each term.
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Multiply 4 by 4.
16+4(510)+26⋅4+26(510)
Multiply 5 by 4.
16+2010+26⋅4+26(510)
Multiply 4 by 2.
16+2010+86+26(510)
Multiply 26(510).
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Multiply 5 by 2.
16+2010+86+10610
Combine using the product rule for radicals.
16+2010+86+1010⋅6
Multiply 10 by 6.
16+2010+86+1060
16+2010+86+1060
Rewrite 60 as 22⋅15.
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Factor 4 out of 60.
16+2010+86+104(15)
Rewrite 4 as 22.
16+2010+86+1022⋅15
16+2010+86+1022⋅15
Pull terms out from under the radical.
16+2010+86+10(215)
Multiply 2 by 10.
16+2010+86+2015
16+2010+86+2015
The result can be shown in multiple forms.
Exact Form:
16+2010+86+2015
Decimal Form:
176.30113806…
Multiply (4+2 square root of 6)(4+5 square root of 10)

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