1.[tex] \sqrt{5 {x}^{2} } = ((5x) \frac{1}{2} ) {2} [/tex]
To remove the radical on the left side of the equation, square both sides of the equation.
[tex] \sqrt{5x {}^{2} } = ( (5x) \frac{1}{2} ) {}^{2} [/tex]
Simplify each side of the equation.
[tex]5x = 5x[/tex]
Solve for x.
[tex]all \: real \: number[/tex]
The result can be shown in multiple forms.
All real numbers
Interval Notation:
[tex]( - \infty
, \infty )[/tex]
5. Simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers.
[tex]2 {x}^{2} y \sqrt[3]{y} [/tex]
