Learn how to rationalize the denominator with a radical in numerator and denominator

The video tutorial explains how to simplify radical expressions by rationalizing the denominator. It begins with an introduction to the concept of radicals and the importance of simplifying them. The tutorial then details the process of rationalizing the denominator, emphasizing the need to eliminate radicals from the denominator. It further explains the properties of radicals and exponents, illustrating how to multiply radicals to achieve simplification. The tutorial concludes with a demonstration of the final steps to simplify the expression, resulting in a rationalized denominator.

What is the first step in simplifying a radical expression with a radical in the denominator?

• Add a constant to both the numerator and denominator

• Ignore the radical in the denominator

• Simplify the numerator and denominator using properties of radicals

• Multiply the numerator by a random number

Why is sqrt(2/7) not helpful in simplifying the expression?

• Because 2/7 is a perfect square

• Because 2/7 is not a perfect square

• Because 2/7 is an integer

• Because 2/7 is a complex number

What is the goal when rationalizing the denominator of a radical expression?

• To add a radical to the numerator

• To make the numerator a perfect square

• To convert the expression into a fraction

• To eliminate the radical from the denominator

Which number should be multiplied with sqrt(7) to rationalize the denominator?

• 7

• sqrt(2)

• 14

• sqrt(7)

What is the simplified form of the expression after rationalizing the denominator?

• sqrt(14) / 7

• 7 / sqrt(14)

• sqrt(7) / 14

• 14 / sqrt(7)