SOLUTION: How do I determine Square roots? Example : I know that the square root of 484 is 22. How do you dtermine that or show how work is done.

Question 530694: How do I determine Square roots?
Example : I know that the square root of 484 is 22.
How do you dtermine that or show how work is done.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
You can use a calculator to find square roots.
.
Google has a built in calculator. Type sqrt(484) and it will reply 22.
.
You can test various multiplicands to determine if they are square roots.
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There also is a old-fashioned long-hand "division" method you could learn.
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You can use the quadratic equation.
.
The square of the square root minus the number = 0.
.
x^2 - 484 = 0
.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1936 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 22, -22. Here's your graph:

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