Explicație pas cu pas:
a)
[tex]x=(\frac{6}{\sqrt{9*7}} -\frac{4}{\sqrt{16*7}} +\frac{6}{\sqrt{4*7}} )*\frac{\sqrt{7}}{2}[/tex]
[tex]x=(\frac{6}{3\sqrt{7}} -\frac{4}{4\sqrt{7}} +\frac{6}{2\sqrt{7}} )*\frac{\sqrt{7}}{2}[/tex]
[tex]x=\frac{4*6-4*3+6*6}{12\sqrt{7}}*\frac{\sqrt{7}}{2}[/tex]
[tex]x=\frac{48}{12\sqrt{7}}*\frac{\sqrt{7}}{2}=\frac{48}{24}[/tex]
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
