Question

simplify I}. (√3+√7)^2​

Answer 1

Rewrite (3−√7)2(3-7)2 as (3−√7)(3−√7)(3-7)(3-7).

(3−√7)(3−√7)(3-7)(3-7)

Expand (3−√7)(3−√7)(3-7)(3-7) using the FOIL Method.

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3⋅3+3(−√7)−√7⋅3−√7(−√7)3⋅3+3(-7)-7⋅3-7(-7)

Simplify and combine like terms.

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16−6√716-67

The result can be shown in multiple forms.

Exact Form:

16−6√7

Answer 2

Answer:

$(\sqrt{3 } + \sqrt{7} )^{2}$

(3 + 2 x root(3)x Root(7) + 7)

$(3 + 2( \sqrt{3} \times \sqrt{7} ) + 7)$

10 + 2 x root3 x root 7