Question

Calculati:
(√3+√27-2√12-1)totul la puterea 2012
Va rog ajutatima...!

Answer 1

$( \sqrt{3} + \sqrt{27} -2 \sqrt{12} -1)^{2012}=( \sqrt{3} +3 \sqrt{3} -2 \cdot 2 \sqrt{3} -1)^{2012}= \\ =( \sqrt{3} +3 \sqrt{3} -4 \sqrt{3} -1)^{2012}=(-1)^{2012}=1^{2012}=1$

Answer 2

In primul rand "Ajutati-ma!". Apoi... rad(27)=3rad(3) ------ 2rad(12)=2*2rad(3) ------ Deci (rad(3) + rad(27) -2rad(12) -1)^2012 = (rad(3) + 3rad(3) -2*2rad(3) -1)^2012= (4rad(3) - 4rad(3) -1)^2012= (-1)^2012 =(Cum orice numar la putere para devine pozitiv)=>(-1)^2012= 1. Sanatate!