Simplify square root of 14( square root of 7+ square root of 2)

Math
14(7+2)
Simplify terms.
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Apply the distributive property.
147+142
Combine using the product rule for radicals.
14⋅7+142
Combine using the product rule for radicals.
14⋅7+14⋅2
14⋅7+14⋅2
Simplify each term.
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Multiply 14 by 7.
98+14⋅2
Rewrite 98 as 72⋅2.
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Factor 49 out of 98.
49(2)+14⋅2
Rewrite 49 as 72.
72⋅2+14⋅2
72⋅2+14⋅2
Pull terms out from under the radical.
72+14⋅2
Multiply 14 by 2.
72+28
Rewrite 28 as 22⋅7.
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Factor 4 out of 28.
72+4(7)
Rewrite 4 as 22.
72+22⋅7
72+22⋅7
Pull terms out from under the radical.
72+27
72+27
The result can be shown in multiple forms.
Exact Form:
72+27
Decimal Form:
15.19099755…
Simplify square root of 14( square root of 7+ square root of 2)

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