Simplify the following expression: (sqrt{11}- | vedclass

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Question

(A) To simplify the expression $(\sqrt{11}-\sqrt{3})^{2}$,we use the algebraic identity $(a-b)^{2} = a^{2} - 2ab + b^{2}$.Here,$a = \sqrt{11}$ and $b

Vedclass · Accepted Answer

$14-2\sqrt{33}$

Vedclass · Answer

(A) To simplify the expression $(\sqrt{11}-\sqrt{3})^{2}$,we use the algebraic identity $(a-b)^{2} = a^{2} - 2ab + b^{2}$.Here,$a = \sqrt{11}$ and $b = \sqrt{3}$.Substituting these values into the identity:$(\sqrt{11}-\sqrt{3})^{2} = (\sqrt{11})^{2} - 2(\sqrt{11})(\sqrt{3}) + (\sqrt{3})^{2}$$= 11 - 2\sqrt{11 	imes 3} + 3$$= 11 - 2\sqrt{33} + 3$$= 14 - 2\sqrt{33}$

Simplify the following expression: $(\sqrt{11}-\sqrt{3})^{2}$

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