Simplifying Square Roots and Factoring

The video tutorial explains how to factor the square root of 50 using a factor tree. It begins by creating a factor tree for 50, breaking it down into its prime factors. The tutorial then demonstrates how to simplify the square root by identifying pairs of prime numbers, allowing one to be pulled out of the square root. The final simplified result is presented as 5 times the square root of 2.

What is the first step in factoring the square root of 50?

• Divide 50 by 5

• Create a factor tree

• Multiply 50 by 2

• Subtract 25 from 50

Which of the following is a prime factor of 50?

• 50

• 2

• 25

• 10

How many pairs of 5s are there in the factorization of 50?

• One

• Three

• None

• Two

What remains under the square root sign after simplification?

• 10

• 5

• 25

• 2

What is the simplified form of the square root of 50?

• 2√5

• 10√5

• 5√2

• 25√2