Question

Упростите выражения:
(2√3+√12)√3
2√3(3-4√75)-3√3
(2√13+3)(2√13-3)
(2√3+√2)2-4√6

Answer 1

1)

$2 \sqrt{3} \times \sqrt{3} + \sqrt{12} \times \sqrt{3} = 2 \times 3 + \sqrt{36} = 6 + 6 = 12$

2)

$2 \sqrt{3 } \times 3 - 2 \sqrt{3} \times 4 \times \sqrt{25} \times \sqrt{3} - 3 \sqrt{3} = 6 \sqrt{3} - 2 \sqrt{3} \times 20 \sqrt{3} - 3 \sqrt{3} = 3 \sqrt{3} - 40 \times 3 = 3 \sqrt{3} - 120$

3)

$({2 \sqrt{13} })^{2} - {3}^{2} = {2}^{2} \times { \sqrt{13} }^{2} - 9 = 4 \times 13 - 9 = 52 - 9 = 43$

4)

$2 \sqrt{3} \times 2 + 2 \times \sqrt{2} - 4 \sqrt{6} = 4 \sqrt{3} + 2 \sqrt{2} - 4 \sqrt{6} = 2(2 \sqrt{3} + \sqrt{2} - 2 \sqrt{6} )$