Question

Which is the best way to solve the equation?​

Answer 1

Option D:

Square both sides of the equation is the best way to solve the equation.

Solution:

Given equation:

$\sqrt{x}=k$

To find which is the best way to solve the equation.

Option A: Multiply both sides of the equation by k.

$\sqrt{x}=k$

$k\sqrt{x}=k^2$

In this method, we are not obtain x value.

It is not true.

Option B: Divide both sides of the equation by k.

$\frac{\sqrt{x}}{k} =\frac{k}{k}$

$\frac{\sqrt{x}}{k} =1$

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.

$\sqrt{\sqrt{x}}=\sqrt{k}$

$x^{\frac{1}{4} }=\sqrt{k}$

In this method, we are not obtain x value.

It is not true.

Option D: Square both sides of the equation.

$(\sqrt{x})^2=k^2$

Square and square root get canceled.

$x=k^2$

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.