# 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.

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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.

You can put this solution on YOUR website!
You can use a calculator to find square roots.
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Google has a built in calculator. Type sqrt(484) and it will reply 22.
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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.
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The square of the square root minus the number = 0.
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x^2 - 484 = 0
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 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: