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RADICALS

Part 2
Let a, b, m, and n be four real numbers, satisfying a = m + n and
b = m⋅n. Then,




Examples:
Simplify the expressions. Use the property to help you.
Changing the denominator of a fraction from an irrational number to a
rational number is called rationalizing the denominator of the fraction.
Rationalizing the denominator does not change the value of the original
fraction.
An expression with exactly two terms is called a binomial expression.
Two binomial expressions whose first terms are equal and last terms are
opposite are called conjugates, i.e. a + b and a – b are conjugates.
Examples:
Rationalize the denominators.

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Radicals part 2

  • 2. Let a, b, m, and n be four real numbers, satisfying a = m + n and b = m⋅n. Then, Examples: Simplify the expressions. Use the property to help you.
  • 3. Changing the denominator of a fraction from an irrational number to a rational number is called rationalizing the denominator of the fraction. Rationalizing the denominator does not change the value of the original fraction.
  • 4. An expression with exactly two terms is called a binomial expression. Two binomial expressions whose first terms are equal and last terms are opposite are called conjugates, i.e. a + b and a – b are conjugates.