1
Question
Simplify : 2+√3√2+√2+√3+2−√3√2−√2−√3
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Solution
2+√3√2+√2+√3+2−√3√2−√2−√3
=2√2+√62+√4+2√3+2√2−√62−√4−2√3
=2√2+√62+1+√3+2√2−√62−√3+1
=2√2+√63+√3×3−√33−√3+2√2−√63−√3×3+√33+√3
=6√2+3√6−2√6−√18+6√2−3√6+2√6−√189−3
=12√2−2√186
=6√2−√183
2+√3√2+√2+√3+2−√3√2−√2−√3
=2√2+√62+√4+2√3+2√2−√62−√4−2√3
=2√2+√62+1+√3+2√2−√62−√3+1
=2√2+√63+√3×3−√33−√3+2√2−√63−√3×3+√33+√3
=6√2+3√6−2√6−√18+6√2−3√6+2√6−√189−3
=12√2−2√186
=6√2−√183
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