Question

Calculati :
$\sqrt{2} \times ( \frac{ \sqrt{2} }{2} )^{n - 1}$
​

Answer 1

Răspuns:

(1/√2)^n

Explicație pas cu pas:

√2*(1/√2)^n=√2/√2^(n-1)= (√2/√2)/√2^n=1/√2^n

Answer 2

$\it \sqrt2\cdot\Big(\dfrac{\sqrt2}{2}\Big)^{n-1}=\sqrt2\cdot\Big(\dfrac{\sqrt2}{2}\Big)^{n}\cdot\Big(\dfrac{\sqrt2}{2}\Big)^{-1}=\sqrt2\cdot\dfrac{2}{\sqrt2}\cdot\Big(\dfrac{\sqrt2}{2}\Big)^{n}=2\cdot\Big(\dfrac{\sqrt2}{2}\Big)^{n}$