Math, asked by pranali1825, 10 months ago


 ( 3\sqrt{2}  -  \sqrt{3} )(4 \sqrt{3}  -  \sqrt{2} )
answer the above question
answer of this question is -18 + 13 in square root 6
explain it ​

Answers

Answered by Anonymous
93

Given :-

(3√2 - √3) (4√3 - √2)

= 3√2(4√3 - √2) - √3(4√3 - √2)

= [(3√2 × 4√3) - (3√2 × √2)] - [(√3 × 4√3) - (√3 × √2)]

= [3 × 4√(2 × 3) - 3√(2 × 2)] - [4√(3 × 3) - √(3 × 2)]

= 12√6 - 3(2) - 4(3) + √6

= 12√6 - 6 - 12 + √6

= 12√6 + √6 - 6 - 12

= 13√6 - 18 FINAL ANSWER

Answered by VishalSharma01
143

Answer:

Step-by-step explanation:

Given :-

( 3√2 - √3 ) ( 4√3 - √2 )

Solution :-

=  ( 3√2 - √3 ) ( 4√3 - √2 )

= 3√2 ( 4√3 - √2 ) - √3 ( 4√3 - √2 )

= 12√6 - 3 (2) - 4 (3) + √6

= 13√6 - 6 - 12

= 13√6 - 18

Hence, The Final Answer is 13√6 - 18.

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