The Quick and Easy Way to Simplify the Square Root of a Number, Sqrt(84)

The video tutorial covers two methods of factorizing the number 84: prime factorization and using square numbers. The instructor explains prime factorization by dividing the number into its prime factors. An alternative method involves rewriting the number as a product of a square number and another number, which simplifies taking square roots. The tutorial also explains the concept of square numbers and demonstrates how to apply these methods in problem-solving.

What is the first step in performing prime factorization on a number like 84?

• Subtract 10

• Multiply by 10

• Add 5

• Divide by the smallest prime number

Which of the following is a square number?

• 25

• 18

• 50

• 30

Why are square numbers useful in simplifying the process of finding square roots?

• They are always odd

• They are always even

• They can be divided by any number

• Their square roots are whole numbers

How can 84 be expressed using a square number and another number?

• 4 times 21

• 9 times 9

• 16 times 5

• 25 times 3

What is the square root of 4?

• 2

• 4

• 3

• 1