Question

Calculati

(√3-2) la puterea 100 * (√3+2) la puterea 100

Answer 1

(√3 - 2)^100 x (√3+)^100 = [ (√3 - 2)(√3 + 2)]^100 = (3 - 4)^100 = (-1)^100  = 1 

Answer 2

$( \sqrt{3}-2) ^{100} \cdot ( \sqrt{3}+2) ^{100} =1$

$[( \sqrt{3}-2) ( \sqrt{3}+2) ]^{100} =1$
se aplica (a-b)(a+b)=a²-b²
a=√3   iar b=2
[(√3)²-2²]¹⁰⁰=(3-4)¹⁰⁰=(-1)¹⁰⁰=1