Simplify the following:(sqrt{3}-sqrt{2})^{2} | vedclass

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

Vedclass · Accepted Answer

$5-2\sqrt{6}$

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(D) To simplify the expression $(\sqrt{3}-\sqrt{2})^{2}$,we use the algebraic identity $(a-b)^{2} = a^{2} + b^{2} - 2ab$.Here,$a = \sqrt{3}$ and $b = \sqrt{2}$.Substituting these values into the identity:$(\sqrt{3}-\sqrt{2})^{2} = (\sqrt{3})^{2} + (\sqrt{2})^{2} - 2(\sqrt{3})(\sqrt{2})$Since $(\sqrt{x})^{2} = x$ and $\sqrt{a} 	imes \sqrt{b} = \sqrt{ab}$:$= 3 + 2 - 2\sqrt{3 	imes 2}$$= 5 - 2\sqrt{6}$

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

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