Question

le="(3 \sqrt{2 - 9} )(3 \sqrt{2 + 9} )" alt="(3 \sqrt{2 - 9} )(3 \sqrt{2 + 9} )" align="absmiddle" class="latex-formula">
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Answer 1

$(3 \sqrt{2 - 9} )(3 \sqrt{2 + 9} ) \\ 3 \sqrt{2 - 9} \: \: \times \: \: 3 \sqrt{2 + 9} \\ 3( \sqrt{2 - 9} \times \sqrt{2 + 9} ) \\ 3( \sqrt{(2 - 9)(2 + 9)} \: \: ) \\ by \: using \: identity \: \: {x}^{2} - {y}^{2} = (x + y)(x - y) \\ 3( \sqrt{ {2}^{2} - {9}^{2} } ) \\ 3( \sqrt{4 - 81} ) \\ 3 \sqrt{77}$

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