Understanding and Applying the Square Root Property in Equations for Finding Solutions

When getting rid of the square root, remember the square root property.

The square root property is a property of equations involving square roots

The square root property is a property of equations involving square roots. It states that if a perfect square occurs on one side of an equation, then taking the square root of both sides will eliminate the square and give you two possible solutions.

For example, consider the equation x^2 = 9. This equation contains a perfect square, 9, on the right side. To solve for x, we can apply the square root property:

√(x^2) = √9

Taking the square root of both sides:

x = ±√9

Simplifying further:

x = ±3

So, by using the square root property, we were able to eliminate the square root and solve the equation, finding two possible solutions x = 3 and x = -3.

More Answers: