Learn how to divide a number by a binomial with a radical number

The video tutorial explains how to use conjugates to simplify expressions involving irrational numbers. It covers the multiplication by conjugates, applying the distributive property, and using the difference of squares to simplify expressions. The tutorial also discusses alternative solutions and how to rewrite expressions in different forms.

What is the purpose of using a conjugate when dealing with irrational numbers?

• To eliminate the irrational part

• To change the sign of the expression

• To make the expression more complex

• To increase the value of the expression

When applying the distributive property to the expression 4 + 4 sqrt 2, what is the result?

• 16 + 16 sqrt 2

• 4 + 4 sqrt 2

• 8 + 8 sqrt 2

• 2 + 2 sqrt 2

In the difference of two squares, what happens to the middle terms?

• They remain unchanged

• They are squared

• They cancel each other out

• They are doubled

What is the result of simplifying 1 - sqrt 4?

• 0

• -1

• 1

• 2

What might a test ask you to factor out in the final expression?

• -2

• -4

• 2

• 4