Square Roots And Cube Roots Study Cards

Enhance Your Learning with Square Roots and Cube Roots Flash Cards for quick learning



Square Root

The square root of a number is a value that, when multiplied by itself, gives the original number.

Cube Root

The cube root of a number is a value that, when multiplied by itself twice, gives the original number.

Perfect Square

A perfect square is a number that can be expressed as the square of an integer.

Perfect Cube

A perfect cube is a number that can be expressed as the cube of an integer.

Radical Sign

The symbol √ used to represent the square root of a number.

Radical Expression

An expression that contains a radical sign.

Radicand

The number under the radical sign in a radical expression.

Index

The number outside the radical sign that indicates the root being taken.

Principal Square Root

The positive square root of a number.

Principal Cube Root

The cube root of a number that is real and positive.

Non-Principal Square Root

The negative square root of a number.

Non-Principal Cube Root

The cube root of a number that is real and negative.

Irrational Number

A number that cannot be expressed as a fraction or a terminating or repeating decimal.

Rational Number

A number that can be expressed as a fraction or a terminating or repeating decimal.

Estimating Square Roots

Finding an approximate value for a square root without using a calculator.

Estimating Cube Roots

Finding an approximate value for a cube root without using a calculator.

Simplifying Square Roots

Reducing a square root to its simplest form.

Simplifying Cube Roots

Reducing a cube root to its simplest form.

Adding and Subtracting Square Roots

Combining square roots with the same radicand using addition or subtraction.

Multiplying Square Roots

Combining square roots with the same radicand using multiplication.

Dividing Square Roots

Combining square roots with the same radicand using division.

Rationalizing the Denominator

Removing radicals from the denominator of a fraction.

Square Roots of Perfect Squares

The square roots of numbers that are perfect squares.

Cube Roots of Perfect Cubes

The cube roots of numbers that are perfect cubes.

Square Roots of Non-Perfect Squares

The square roots of numbers that are not perfect squares.

Cube Roots of Non-Perfect Cubes

The cube roots of numbers that are not perfect cubes.

Square Roots of Fractions

The square roots of numbers that are fractions.

Cube Roots of Fractions

The cube roots of numbers that are fractions.

Square Roots of Decimals

The square roots of numbers that are decimals.

Cube Roots of Decimals

The cube roots of numbers that are decimals.

Square Roots of Negative Numbers

The square roots of numbers that are negative.

Cube Roots of Negative Numbers

The cube roots of numbers that are negative.

Square Roots of Variables

The square roots of numbers that contain variables.

Cube Roots of Variables

The cube roots of numbers that contain variables.

Square Roots of Expressions

The square roots of algebraic expressions.

Cube Roots of Expressions

The cube roots of algebraic expressions.

Square Roots of Complex Numbers

The square roots of numbers that are complex.

Cube Roots of Complex Numbers

The cube roots of numbers that are complex.

Square Roots in Real-Life Applications

The use of square roots in various real-life scenarios.

Cube Roots in Real-Life Applications

The use of cube roots in various real-life scenarios.

Pythagorean Theorem

A fundamental theorem in geometry that relates the lengths of the sides of a right triangle.

Geometric Mean

A type of average that is calculated using the product of numbers.

Exponent

A number that represents the power to which another number is raised.

Scientific Notation

A way of expressing numbers that are very large or very small using powers of 10.

Logarithm

The inverse operation of exponentiation.

Natural Logarithm

A logarithm with base e, where e is the mathematical constant approximately equal to 2.71828.

Common Logarithm

A logarithm with base 10.

Change of Base Formula

A formula used to convert logarithms from one base to another.

Inverse Operations

Operations that undo each other.

Order of Operations

The rules for evaluating expressions involving multiple operations.

Exponential Growth

A type of growth where the quantity increases exponentially over time.

Exponential Decay

A type of decay where the quantity decreases exponentially over time.