Option D:
Square both sides of the equation is the best way to solve the equation.
Solution:
Given equation:
[tex]\sqrt{x}=k[/tex]
To find which is the best way to solve the equation.
Option A: Multiply both sides of the equation by k.
[tex]\sqrt{x}=k[/tex]
[tex]k\sqrt{x}=k^2[/tex]
In this method, we are not obtain x value.
It is not true.
Option B: Divide both sides of the equation by k.
[tex]$\frac{\sqrt{x}}{k} =\frac{k}{k}[/tex]
[tex]$\frac{\sqrt{x}}{k} =1[/tex]
In this method, we are not obtain x value.
It is not true.
Option C: Take the square root of both sides of the equation.
[tex]\sqrt{\sqrt{x}}=\sqrt{k}[/tex]
[tex]x^{\frac{1}{4} }=\sqrt{k}[/tex]
In this method, we are not obtain x value.
It is not true.
Option D: Square both sides of the equation.
[tex](\sqrt{x})^2=k^2[/tex]
Square and square root get canceled.
[tex]x=k^2[/tex]
We obtain x value.
It is true.
Therefore square both sides of the equation is the best way to solve the equation.
Option D is the correct answer.
