Solve the following quadratic equation by using the square root property. If​ possible, simplify radicals or rationalize denominators.

Question

square k = 17

Answer 1

To solve the equation \( k^2 = 17 \) using the square root property, we can take the square root of both sides. The square root property states that if \( x^2 = a \), then \( x = \pm \sqrt{a} \).

Here's how to apply it:

1. Start with the equation: \[ k^2 = 17 \]

2. Take the square root of both sides: \[ k = \pm \sqrt{17} \]

Therefore, the solutions to the equation \( k^2 = 17 \) are: \[ k = \sqrt{17} \quad \text{and} \quad k = -\sqrt{17} \]