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 9 is 3 because 3 x 3 = 9.

Tags

CCSS.8.EE.A.2

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This equation means that the square root of x is equal to 9. To find x, you would square both sides of the equation.

Tags

CCSS.8.EE.A.2

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Square both sides: x = 9^2 = 81.

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Square both sides: x = 4^2 = 16.

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This equation means that x squared equals 16. To find x, you can take the square root of both sides.

Tags

CCSS.8.EE.A.2

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The solutions are x = 4 and x = -4.

Tags

CCSS.8.EE.A.2

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What is the principle of squaring both sides of an equation?

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Squaring both sides of an equation is a method used to eliminate square roots, allowing you to solve for the variable.

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CCSS.HSA.REI.A.2

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What is the relationship between square roots and perfect squares?

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A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, and 16 are perfect squares.

Tags

CCSS.8.EE.A.2

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How do you check if your solution to a square root equation is correct?

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

Tags

CCSS.HSA.REI.A.2

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What is the square root of 0?

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The square root of 0 is 0, since 0 x 0 = 0.

Tags

CCSS.8.EE.A.2