Question

$3 \sqrt{2 } - 2 \sqrt{3 } \div 3 \sqrt{2} + 2 \sqrt{3}$
Rationalize ​

Answer 1

Answer:

(3√2 -2√3) / (3√2 +2√3)

=  (3√2 -2√3) / (3√2 +2√3) *  (3√2 -2√3) / (3√2 -2√3)

=      (3√2 -2√3) ^2  / [ (3√2)^2 - (2√3)^2 ]

= (9*2 - 2*3√2 * 2√3 + 4*3 )/ (18 - 12)

= ( 18 - 12√ 6 + 12 ) /6

= (30 - 12 √ 6  ) /6

= 5 - 2√6

mark as brainliet