Multiply square root of 3( square root of 3+4 square root of 14)

Math
3(3+414)
Apply the distributive property.
33+3(414)
Combine using the product rule for radicals.
3⋅3+3(414)
Multiply 3(414).
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Combine using the product rule for radicals.
3⋅3+43⋅14
Multiply 3 by 14.
3⋅3+442
3⋅3+442
Simplify each term.
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Multiply 3 by 3.
9+442
Rewrite 9 as 32.
32+442
Pull terms out from under the radical, assuming positive real numbers.
3+442
3+442
The result can be shown in multiple forms.
Exact Form:
3+442
Decimal Form:
28.92296279…
Multiply square root of 3( square root of 3+4 square root of 14)

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