Question

Se consideră numerele ​

Answer 1

Explicație pas cu pas:

a)

$x=(\frac{6}{\sqrt{9*7}} -\frac{4}{\sqrt{16*7}} +\frac{6}{\sqrt{4*7}} )*\frac{\sqrt{7}}{2}$

$x=(\frac{6}{3\sqrt{7}} -\frac{4}{4\sqrt{7}} +\frac{6}{2\sqrt{7}} )*\frac{\sqrt{7}}{2}$

$x=\frac{4*6-4*3+6*6}{12\sqrt{7}}*\frac{\sqrt{7}}{2}$

$x=\frac{48}{12\sqrt{7}}*\frac{\sqrt{7}}{2}=\frac{48}{24}$

x = 2

b)

y = 2²⁷ · (2²)³ : (2³)¹⁰ = 2²⁷ · 2⁶ : 2³⁰ = 2²⁷⁺⁶⁻³⁰ = 2³ = 8

mg = √xy = √(2·8) = √16 = 4 = 2²

2² este număr natural pătrat perfect