Learn to rationalize the denominator with a single radical

The video tutorial explains the concept of rationalizing the denominator when dealing with irrational numbers, specifically focusing on the square root of 3. It discusses the challenges of dividing by irrational numbers and the process of removing square roots by multiplying appropriately. The tutorial also covers the importance of maintaining equivalent fractions to ensure the problem remains balanced, ultimately leading to the final solution of 5 times the square root of 3 divided by 3.

What is the nature of the square root of 3?

• An integer

• A rational number

• A whole number

• An irrational number

Why do we multiply by the square root of 3 over itself when rationalizing the denominator?

• To change the value of the fraction

• To keep the fraction equivalent

• To make the fraction irrational

• To simplify the numerator

What is the result of multiplying the square root of 3 by itself?

• 0

• 3

• 9

• 1

In the example given, what is the final simplified form of the expression?

• 5 divided by 3

• 5 square root of 3

• 5 square root of 3 divided by 3

• 3 square root of 5 divided by 3

What must be done to both the numerator and the denominator to maintain an equivalent fraction?

• Multiply the numerator by 2

• Add 3 to both

• Multiply both by the same number

• Divide the denominator by 3