Simplifying a radical by rationalizing the denominator simple

The video tutorial explains how to rationalize the denominator of a fraction involving square roots. It begins with an introduction to the concept, followed by a detailed explanation of multiplying by square roots to eliminate the square root in the denominator. The tutorial then demonstrates the simplification of the expression, leading to a more simplified answer. The process is concluded with a final review of the steps taken to achieve the rationalized form.

What is the first step in rationalizing the denominator of a fraction with a square root?

• Add the square root to both numerator and denominator

• Divide the numerator by the square root

• Subtract the square root from the numerator

• Multiply the numerator and denominator by the square root in the denominator

Why do we multiply both the numerator and denominator by the square root in the denominator?

• To make the numerator larger

• To eliminate the square root from the denominator

• To change the value of the fraction

• To add complexity to the expression

What is the result of multiplying sqrt(2) by sqrt(8)?

• sqrt(18)

• sqrt(6)

• sqrt(16)

• sqrt(10)

What is the simplified form of sqrt(16) divided by 8?

• 1/4

• 1/2

• 2

• 4

Why is it important to have a denominator without a square root?

• To make the expression more complex

• To simplify the expression

• To increase the value of the fraction

• To make the numerator larger