Автор - Lubovuv

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

Ответ

Автор - tanya125252

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} )

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