Solving Equations with Square Roots

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What is a square root?

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A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 x 4 = 16.

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CCSS.8.EE.A.2

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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CCSS.8.EE.C.7B

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What is the principle of isolating the variable in an equation?

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Isolating the variable involves rearranging the equation to get the variable on one side and the constants on the other side.

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CCSS.7.EE.B.4A

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CCSS.8.EE.A.2

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How do you check if a solution to an equation is correct?

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Substitute the solution back into the original equation to see if both sides are equal.

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CCSS.6.EE.B.5

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CCSS.8.EE.A.2

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CCSS.8.EE.A.2

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CCSS.6.EE.B.7

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What does it mean if an equation has two solutions?

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It means that there are two different values for the variable that satisfy the equation.

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CCSS.HSA-REI.B.4B

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What is the square root of a negative number?

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The square root of a negative number is not a real number; it is an imaginary number.