Question

( 2 root 11 - 3 root 12 ) 2 root 11 + 3 root 12)​

Answer 1

Step-by-step explanation:

$(2 \sqrt{11} - 3 \sqrt{12} )(2 \sqrt{11} + 3 \sqrt{12} ) \\ \\ (a + b)(a - b) = {a}^{2} - {b}^{2} \\ \\ {(2 \sqrt{11}) }^{2} - {(3 \sqrt{12} )}^{2} \\ = ( {2}^{2} \times { \sqrt{11} }^{2} ) - ( {3}^{2} \times { \sqrt{12} }^{2} ) \\ = (4 \times 11) - (9 \times 12) \\ = 44 - 108 \\ = - 64$