<img src="https://tex.z-dn.net/?f=%283%20%5Csqrt%7B2%20-%209%7D%20%29%283%20%5Csqrt%7B2%20%2B%209%7D%20%29" id="TexFormula1" tit

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3 years ago

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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1 answer:

lara31 [8.8K]3 years ago

7 0

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

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