Evaluate -3-11-12-9-3-12

( √( 3 ) +1 ) ( 1 √( 12 ) #160; ) + 9 ( √( 3 ) +√( 12 ) #160; ) #160; √( 3 ) √( 36 ) +1 √( 12 ) +[ 9 ( √( 12 ) +√( 3 ) #160; ) #160; ×( √( ...

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Byju's Answer

Standard IX

Mathematics

Rationalisation

Evaluate √3+...

Question

Evaluate
$(\sqrt{3} + 1) (1 - \sqrt{12}) + \frac{9}{(\sqrt{3} + \sqrt{12})}$

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Solution

$(\sqrt{3} + 1) (1 - \sqrt{12}) + \frac{9}{(\sqrt{3} + \sqrt{12})}$
$\sqrt{3} - \sqrt{36} + 1 - \sqrt{12} + ⎡ ⎢ ⎣ \frac{9}{(\sqrt{12} + \sqrt{3})} \times \frac{(\sqrt{12} - \sqrt{3})}{(\sqrt{12} - \sqrt{3})} ⎤ ⎥ ⎦$
$\sqrt{3} + 1 - 6 - \sqrt{2} + \frac{9 (\sqrt{12} - \sqrt{3})}{9}$
$\sqrt{3} - 5 - \sqrt{12} + \sqrt{12} - \sqrt{3} = - 5$

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Evaluate(√3+1)(1−√12)+9(√3+√12)

(√3+1)(1−√12)+9(√3+√12)√3−√36+1−√12+⎡⎢⎣9(√12+√3)×(√12−√3)(√12−√3)⎤⎥⎦√3+1−6−√2+9(√12−√3)9√3−5−√12+√12−√3=−5

Evaluate
$(\sqrt{3} + 1) (1 - \sqrt{12}) + \frac{9}{(\sqrt{3} + \sqrt{12})}$