Which of the following is equivalent to the expression given below ?
${(\sqrt{6} + \sqrt{6} - 9 \sqrt{6} + 5 \sqrt{6})}^{2}$

12

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24

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144

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- 24

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Solution

The correct option is B $24$
${(\sqrt{6} + \sqrt{6} - 9 \sqrt{6} + 5 \sqrt{6})}^{2}$
${(\sqrt{6} + \sqrt{6} - 9 \sqrt{6} + 5 \sqrt{6})}^{2} = (- 9 {\sqrt{6} + 7 \sqrt{6})}^{2}$
$(- 2 {\sqrt{6})}^{2} = 4 \times 6 = 24$
Answer (B) 24

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