Learn how to simplify and rationalize the denominator of a polynomial expression ex 4

The video tutorial explains how to simplify a radical expression by rationalizing the denominator. It begins with simplifying sqrt 16 and proceeds to rationalize the denominator of 2 / sqrt 10 by multiplying by sqrt 10. The process involves understanding inverse operations of squaring and square roots, leading to the final simplified expression of sqrt 10 / 5.

What is the first step in simplifying the expression 2 times sqrt 10?

• Multiply by sqrt 10

• Divide by 2

• Simplify sqrt 16

• Add 4

Why is it easier to rationalize the denominator of 2 over sqrt 10?

• Because it involves smaller numbers

• Because it avoids complex multiplication

• Because it simplifies the expression

• Because sqrt 10 is already rational

What operation is performed to rationalize the denominator of 2 over sqrt 10?

• Add sqrt 10 to both numerator and denominator

• Multiply by sqrt 10 on both numerator and denominator

• Subtract sqrt 10 from the numerator

• Divide by sqrt 10

What is the result of multiplying sqrt 10 by itself?

• 10

• sqrt 20

• 1

• sqrt 100

What is the final simplified form of the expression?

• sqrt 10 over 2

• 1 over sqrt 10

• sqrt 10 over 5

• 2 over 10