Square Root Calculation by Factoring

This video tutorial explains how to find the square root of large numbers using the factoring method. It provides three examples: finding the square roots of 1444, 4096, and 11664. The process involves breaking down the numbers into smaller factors, identifying perfect squares, and using the properties of square roots to simplify the calculations. The tutorial emphasizes patience and practice in mastering this method.

What is the first step in finding the square root of a number by factoring?

• Add the number to itself

• Divide the number by 2

• Multiply the number by itself

• Subtract 1 from the number

What is the square root of 1444?

• 42

• 40

• 38

• 36

Which of the following is a perfect square?

• 2048

• 1444

• 361

• 722

What is the square root of 4096?

• 68

• 66

• 64

• 62

How many times do you divide 4096 by 2 to reach a perfect square?

• 4 times

• 5 times

• 3 times

• 2 times

What is the square root of 11664?

• 112

• 108

• 106

• 110

Which number is a factor of 11664?

• 9

• 11

• 15

• 13

What is the result of dividing 11664 by 2 multiple times until a perfect square is reached?

• 144

• 256

• 512

• 729

What is the cube of 9?

• 81

• 243

• 1000

• 729

What is the final step in finding the square root using the factoring method?

• Multiply the factors

• Divide the factors

• Add the factors

• Subtract the factors