Evaluate the square root of a perfect square rational number ex 8, root(64/196)

The video tutorial explains how to evaluate the radical of a perfect square number, especially when presented as a fraction. It introduces the property of radicals that allows the square root of a rational number to be rewritten as the square root of the numerator over the square root of the denominator. The tutorial demonstrates this with examples, including the square root of 64 and the prime factorization of 196, emphasizing the importance of knowing square numbers and prime factorization for evaluating square roots.

What property allows us to simplify the square root of a fraction?

• The property of division

• The property of multiplication

• The property of radicals

• The property of addition

What is the square root of 64?

• 9

• 8

• 7

• 6

Which of the following is a prime factorization of 196?

• 4 * 4 * 4

• 2 * 2 * 7 * 7

• 3 * 3 * 11

• 2 * 3 * 5 * 7

What is the result of simplifying the fraction 14/28?

• 1/2

• 2/3

• 3/4

• 4/7

Why is it important to know square numbers?

• They are not important

• They simplify multiplication

• They are used in addition

• They help in evaluating square roots