Упрощение выражений
- a) 6$$\sqrt{3}$$+$$\sqrt{27}$$-3$$\sqrt{75}$$ = 6$$\sqrt{3}$$+$$\sqrt{9\cdot3}$$-3$$\sqrt{25\cdot3}$$ = 6$$\sqrt{3}$$+3$$\sqrt{3}$$-3$$\cdot$$5$$\sqrt{3}$$ = 6$$\sqrt{3}$$+3$$\sqrt{3}$$-15$$\sqrt{3}$$ = -6$$\sqrt{3}$$
- б) ($$\sqrt{50}$$-2$$\sqrt{2}$$)$$\sqrt{2}$$ = ($$\sqrt{25\cdot2}$$-2$$\sqrt{2}$$)$$\sqrt{2}$$ = (5$$\sqrt{2}$$-2$$\sqrt{2}$$)$$\sqrt{2}$$ = 3$$\sqrt{2}$$\cdot$$\sqrt{2}$$ = 3$$\cdot$$2 = 6
- в) (2-$$\sqrt{3}$$)$$^2$$ = 4 - 4$$\sqrt{3}$$ + 3 = 7 - 4$$\sqrt{3}$$
Ответ:
a) -6$$\sqrt{3}$$;
б) 6;
в) 7 - 4$$\sqrt{3}$$.