Square Roots Quiz

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Questions and Answers

In the equation y^2 = x, what is the relationship between y and x?

y is a number such that its square is equal to x.

How can the principal square root be expressed in exponent notation for a non-negative x?

The principal square root can be expressed as $x^{1/2}$ for a non-negative x.

What is the principal square root of 9?

The principal square root of 9 is ${\sqrt{9}} = 3$.

What is the radicand in the expression ${\sqrt{9}}$?

<p>The radicand in the expression ${\sqrt{9}}$ is 9.</p> Signup and view all the answers

How many square roots does a positive number x have?

<p>A positive number x has two square roots: ${\sqrt{x}}$ (positive) and $-{\sqrt{x}}$ (negative).</p> Signup and view all the answers

Flashcards

Relationship between y and x in y^2 = x

In the equation y^2 = x, y is a number that, when squared, equals x. For example, if x = 9, then y could be 3 or -3 because 3^2 = 9 and (-3)^2 = 9.

Principal Square Root in exponent notation

The principal square root of a non-negative number x is represented by the symbol √x. It is the positive number that results in x when squared. For instance, the principal square root of 9 is 3, denoted as √9 = 3.

What is the principal square root of 9?

The principal square root of 9 is 3 because 3 × 3 = 9.

What is the radicand?

The radicand is the number or expression under the radical (square root) symbol.

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How many square roots does a positive number have?

Every positive number has two square roots: a positive and a negative one. The positive one is the principal square root. For instance, the square roots of 9 are 3 and -3 because 3 x 3 = 9 and (-3) x (-3) = 9.

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