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Tricky Substitutions Involving Radicals

"When an indefinite integral involves a function of x times the radical of another function of x, the substitution method must be used in multiple ways. In these tricky substitutions involving radical ...

How to Multiply Radicals

"To simplify two radicals with different roots, we first rewrite the roots as rational exponents. Before the terms can be multiplied together, we change the exponents so they have a common denominator ...

Solving Radicals

"Solving equations with radicals, no matter what power, involves isolating the radical on one side of the equation and then raising both sides of the equation to the power of the radical. When solvin ...

Simplifying Radicals

"When simplifying roots that are either greater than four or have a term raised to a large number, we rewrite the problem using rational exponents. Remember that every root can be written as a fractio ...

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 ...

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 ...

Multiplying Radical Expressions

"When multiplying radical expressions of the same power, be careful to multiply together only the terms inside the roots and only the terms outside the roots; keep them separate. After multiplying th ...

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