Rewriting Square Roots of Fractions

The video tutorial explains how to simplify the square root of 1/200 by factoring out perfect squares. It presents two methods: one using direct factorization of 200 into 2 and 100, and another using smaller factors. The tutorial also covers rationalizing the denominator to remove radicals, providing a comprehensive understanding of simplifying square roots.

What is the principal root of 1/200?

• 1/20

• 1/10

• 1/√200

• 1/√2

What is the square root of 1?

• 0

• 1

• 2

• 10

Which of the following is a perfect square that is a factor of 200?

• 10

• 100

• 25

• 50

How can the square root of 200 be expressed using the square root of 2 and 10?

• 10√2

• 2√10

• 5√4

• √20

What is the first step in the second method of simplifying √200?

• Divide by 25

• Divide by 10

• Divide by 2

• Divide by 5

Which of the following is a perfect square factor of 25?

• 2

• 3

• 4

• 5

What is the simplified form of √200 using the second method?

• 2√5

• 20√2

• 10√2

• 5√2

What is the simplified form of 1/10√2?

• 1/20

• 1/2√2

• √2/20

• √2/10

What is the result of multiplying √2 by itself?

• √2

• 4

• 2

• 1

How can 1/10√2 be alternatively written?

• √2/20

• 1/2√2

• 1/20√2

• 1/20