Learn how to rationalize the denominator with a radical in denominator

The video tutorial covers the concept of radicals and the challenges in simplifying them. It explains irrational numbers and the process of rationalizing the denominator to eliminate irrational numbers from the denominator. The tutorial demonstrates how to multiply by the square root of 10 to achieve this and discusses the concept of equivalent fractions, showing how to simplify fractions effectively.

What is the main issue when dividing numbers that do not divide evenly?

• They become irrational numbers.

• They cannot be simplified further.

• They become negative numbers.

• They result in a whole number.

What is the purpose of rationalizing the denominator?

• To change the fraction to a decimal.

• To increase the value of the fraction.

• To eliminate the irrational number from the denominator.

• To make the fraction a whole number.

How do you rationalize the denominator of a fraction?

• Multiply the numerator and denominator by the same radical.

• Add the same number to the numerator and denominator.

• Subtract the same number from the numerator and denominator.

• Divide the numerator and denominator by the same radical.

What is the result of multiplying sqrt 10 by itself?

• 20

• sqrt 20

• 10

• sqrt 100

After rationalizing the denominator, what is the next step?

• Multiply the fraction by 10.

• Add the numerator and denominator.

• Convert the fraction to a decimal.

• Simplify the resulting expression.