Question

решите пошагово пожалуйста ​

Answer 1

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

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

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

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

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