1.

Simplify the following expansion (√3+√2)²​

Answer»

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Simplify the following expression –

  • (√3+√2)²

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✯ This expression can be easily SOLVED by the SUITABLE algebraic IDENTITY –

\boxed{(a+b)² = a²+2ab+b²}

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So, simplifying it we GET, -

( \sqrt{3} + \sqrt{2} ) {}^{2} \\ \implies( \sqrt{3} ) {}^{2} + 2( \sqrt{3} \sqrt{2} ) + ( \sqrt{2} ){}^{2} \\ \implies 3 + 2\sqrt[]{6} + 2 \\ \implies5 + 2\sqrt[]{6}

∴ (√3+√2)² = 5+ 2√6

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⠀⠀⠀✨HOPE IT HELPS✨


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