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Graphing Radicals

"One way to graph radical functions is to create a table of values and then plot the points. Before starting the table, first determine the domain of the function. Remember, the radical must be greate ...

Graphing Radical Equations using Shifts

"When graphing radical equations using shifts, adding or subtracting a constant that is not in the radical will shift the graph up (adding) or down (subtracting). Adding or subtracting a constant that ...

Solving Radical Equations

Radical equations are equations that have square root terms. When solving radical equations, try to isolate the radical expression on one side of the equation and then square both sides (it is the inv ...

Simplifying Radical Expressions

"Radical expressions are square roots of monomials, binomials, or polynomials. One way of simplifying radical expressions is to break down the expression into perfect squares multiplying each other. A ...

Estimating Square Roots

When a radical is not a perfect square (1, 4, 9, 16, …), estimating square roots is a valuable tool. When asked to estimate the value of a radical between two consecutive integers, find the two ...

Dividing Radicals

"To "rationalize" a fraction means to perform some operation to remove any radicals from the denominator. When dividing radicals (fractions are division), start by reducing and looking for perfect squ ...

Cube Roots

"A square root is an exponent of one-half. A cube root is an exponent of one-third. Square roots of negative numbers do not have real number roots since the product of any real number and itself is po ...

Multiplying Radicals

"When multiplying radical expressions, it is helpful to remember that only terms "inside" the radicals can be multiplied and only the terms "outside" the radical can be multiplied together. After mul ...

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