1. Square root of (2000*2001*2002*2003*2004*2005*2006) + 36 = ?????? (do it without calculator and explain as well).
2. a+b+c=1. Prove that: Square root of (a^2+b^2) + Square of (b^2+c^2) + Square root of (c^2+b^2) >= Square of 2. (Explain your answer).
As i say for number 2. This is one quention in the test that my friend did for changing year 9 to year 10. she got this one right in the test (more questions but have to finish in 90 minutes, so she got 95%).
For number 1, she had it from her academic extension class; her teacher gave it to her and said:"the hint is "whole thing! ". i know it does not make sense, but he did not tell her the answer. Now we are still sloving. This is math program for year 9 in Viet Nam. Nothing is impossible, but in this case i still have not figured out yet. More people more percentages to slove that why she bet me to slove the questions.