Question

How do you solve the equation 400=k2?(1 point) Responses Multiply both sides of the equation by 2. Multiply both sides of the equation by 2. Divide both sides of the equation by 400. Divide both sides of the equation by 400. Take the square root of both sides of the equation. Take the square root of both sides of the equation. Divide both sides of the equation by 2.

Answer 1

To solve the equation \( 400 = k^2 \), you should take the square root of both sides of the equation. This is because you want to isolate \( k \).

So the correct step is:

1. Take the square root of both sides: \[ \sqrt{400} = \sqrt{k^2} \]

2. This results in: \[ 20 = k \quad \text{or} \quad k = -20 \]

Thus, the value of \( k \) can be 20 or -20.

So, the best response from the options you provided is: Take the square root of both sides of the equation.