Rationalize the denominator to simplify a radical expression

The video tutorial explains how to simplify a rational radical expression with a binomial in the denominator. It covers the use of the conjugate to eliminate radicals, the box method for organizing multiplication, and the simplification of both the numerator and denominator. The tutorial concludes with dividing by a common divisor to achieve the final simplified expression.

Why is multiplying by the square root of 3 alone not sufficient to eliminate the radical in the denominator?

• It would still leave a radical in the denominator.

• It would not change the denominator.

• It would result in a complex number.

• It would make the expression undefined.

What is the purpose of using the conjugate in simplifying rational radical expressions?

• To eliminate the radical in the numerator.

• To create a difference of two squares.

• To increase the value of the expression.

• To make the expression more complex.

What method is used to organize the multiplication of terms in the numerator?

• The distributive method

• The box method

• The cross-multiplication method

• The substitution method

What is the result of multiplying sqrt 3 by sqrt 3?

• 9

• 6

• 0

• 3

What common divisor is used to simplify the final expression?

• 7

• 2

• 3

• 5