найдите знаечение выражения (a^3 b^3 - (cd)^3 ) при а= sqrt(6), b= sqrt(8), c=sqrt(6), d= sqrt (2)
пожалуйста :З
подставив, получаем:
(sqrt{6})^3 * (sqrt{8})^3 - (sqrt{6} * sqrt{2})^3 = 6sqrt{6} * 8sqrt{8} - (6sqrt{6} * 2sqrt{2})= 48sqrt{48} - 12sqrt{12}= 48sqrt{12*4} - 12sqrt{12} = 96sqrt{12} - 12sqrt{12} = 84sqrt{12} = 84sqrt{4*3} = 168sqrt{3}
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
подставив, получаем:
(sqrt{6})^3 * (sqrt{8})^3 - (sqrt{6} * sqrt{2})^3 = 6sqrt{6} * 8sqrt{8} - (6sqrt{6} * 2sqrt{2})= 48sqrt{48} - 12sqrt{12}= 48sqrt{12*4} - 12sqrt{12} = 96sqrt{12} - 12sqrt{12} = 84sqrt{12} = 84sqrt{4*3} = 168sqrt{3}