Question 74

Evaluate:$$(\sqrt{3}-\frac{1}{\sqrt{3}})^{2}$$

Solution

The correct option is D.

$$\left({\sqrt{3}}-\frac{{1}}{\sqrt{3}}\right)^{2}$$

=$$\left(\frac{{3-1}}{\sqrt{3}}\right)^{2}$$

=$$\left(\frac{{2}}{\sqrt{3}}\right)^{2}$$

After squaring

=$$\left(\frac{{4}}{{3}}\right)$$

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