Question

Calculeaza numarul N=|-2$\sqrt{3}$|-|1-$\sqrt{3}$|-|-$\sqrt{3}$-4|.

Answer 1

|x| este:
-> x daca x > 0
-> -x daca x < 0
->  0 daca x = 0

-2√3 < 0  ==>  |-2√3| = -(-2√3)  = 2√3
1-√3 = √1 - √3  < 0  ==>  |1 - √3|  = -(1 - √3) = √3 - 1
-√3 - 4 < 0  ==>  |-√3-4| = 4 + √3

N = 2√3 - (√3 - 1) - (4 + √3) = 2√3 - √3 + 1 - 4 - √3 = -3

Answer 2

2√3-(√3-1)-(√3+4)=2√3-√3+1-√3-4=1-4=-3

am tinut cont ca √3>1, deci |1-√3|=√3-1
si ca |-√3-4|=|√3+4|=√3+4
pt ca |-x|=|x|