Rationalizing Denominators

This video tutorial teaches how to rationalize denominators by multiplying by 1. It explains the difference between rational and irrational numbers, and provides methods for rationalizing denominators containing square roots and cube roots. The tutorial emphasizes the importance of maintaining the value of expressions while changing their form, and offers tips for simplifying complex expressions.

What is the result when you multiply two identical square roots?

• A rational number equal to the radicand

• An irrational number

• A complex number

• A negative number

How can you rationalize a denominator that contains a square root?

• By multiplying by the square root of the numerator

• By dividing by the square root of the denominator

• By multiplying by the conjugate of the denominator

• By adding a constant to the denominator

What is the final step in rationalizing a denominator with a variable under a square root?

• Dividing by the variable

• Removing the variable from under the radical

• Multiplying by the square root of the variable

• Adding a constant to the numerator

When rationalizing a denominator with a cube root, how many times should you multiply by the cube root?

• Three times

• Four times

• Twice

• Once

What is a quick hint to determine how many times you need to multiply to rationalize a cube root in the denominator?

• Consider the size of the radicand

• Count the number of variables

• Look at the index of the radical

• Check the number of terms in the expression