Question

решите пошагово пожалуйста ​

Answer 1

$1){(3 sqrt{2} )}^{2} - {(2 sqrt{3}) }^{2} = 9 times 2 - 4 times 3 = 18 - 12 = 6$

$2)2( {(2 sqrt{10} )}^{2} - 2 times 2 sqrt{10} times sqrt{2} + { (sqrt{2} )}^{2}) = 2(4 times 10 - 4 times sqrt{20} + 2) = 84- 16 sqrt{5} )$

$3)4 + sqrt{7} + 2 sqrt{(16 - 7)} + 4 - sqrt{7} = 8 + 2 times 3 = 14$

$5) sqrt{6 + 2 sqrt{5} } = sqrt{( {1}^{2} + 2 times 1 times sqrt{5} + { (sqrt{5} )}^{2} } = ({sqrt{(1 + sqrt{5} )}})^{2} = 1 + sqrt{5}$

$sqrt{(11 - 4 sqrt{7}) } = sqrt{( {2}^{2} - 2 times 2 times sqrt{7} + { (sqrt{7} )}^{2} )} = sqrt{ {(2 - sqrt{7} )}^{2} } = 2 - sqrt{7}$