Question

$(4 \sqrt{3} - \sqrt{2} )(3 \sqrt{2} + 2 \sqrt{3} )$
please evaluate this.....

Answer 1

Hey!!!
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●Ques》(4√​3​​​−√​2​​​)(3√​2​​​+2√​3​​​) 
●Ans》
$(4 \sqrt{3} - \sqrt{2} )(3 \sqrt{2} + 2 \sqrt{3} ) \\ 4 \sqrt{ 3} (3 \sqrt{2} + 2 \sqrt{3} ) - \sqrt{2} (3 \sqrt{2} + 2 \sqrt{3} ) \\ 4 \times 3 \sqrt{3 \times 2} + 4 \times 2 \sqrt{3 \times 3} -( 3 \times \sqrt{2 \times 2} + 2 \sqrt{2\times3 } ) \\ 12 \sqrt{6} + 8 \times 3 - 3 \times 2 - 2 \sqrt{6} \\ 12 \sqrt{6} - 2 \sqrt{6} + 24 - 6 \\ 10 \sqrt{6} + 18$
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Hope it helps!!! :)

Answer 2

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Q. Evaluate ( 4√3 - √2 ) ( 3√2 + 2√3 ).

= ( 4√3 - √2 ) ( 3√2 + 2√3 )

= 4√3 ( 3√2 + 2√3 ) - √2 ( 3√2 + 2√3 )

= ( 4√3× 3√2 ) + ( 4√3 × 2√3 ) - ( √2 × 3√2 ) - ( √2 × 2√3 )

= 12√6 + 24 - 6 - 2√6

= 12√6 - 2√6 + 24 - 6

= 10√2 + 18.


Hope it helps !