equations with square roots

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What is a square root?

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A square root of a number x is a value y such that y² = x. For example, the square root of 9 is 3, since 3² = 9.

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What is the principal square root?

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The principal square root of a non-negative number is the non-negative value that, when squared, gives the original number. For example, the principal square root of 16 is 4.

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What does it mean to round to the nearest hundredths place?

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Rounding to the nearest hundredths place means adjusting a number to two decimal places. For example, 6.876 rounds to 6.88.

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How do you isolate a variable in an equation?

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To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

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What does it mean if an equation has no solution?

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How do you check if a solution 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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