The Easy Way to Simplify the Square Root of a Number, Sqrt(45)

The video tutorial explains how to simplify square roots, focusing on the square root of 45. It compares the traditional prime factorization method with a shortcut method that uses square numbers. The instructor demonstrates how to identify the largest square number that divides evenly into a given number, simplifying the process. The tutorial emphasizes the efficiency of using square numbers for simplification, especially for larger numbers, and provides a step-by-step example of simplifying the square root of 45.

What is a potential downside of using prime factorization for simplifying square roots?

• It is always the fastest method.

• It can be repetitive and inefficient for larger numbers.

• It only works for numbers less than 100.

• It requires memorizing all prime numbers.

What does the shortcut method for simplifying square roots involve?

• Rewriting numbers in terms of square numbers.

• Dividing by the smallest number possible.

• Using only prime numbers.

• Ignoring square numbers.

Which of the following is a square number?

• 45

• 25

• 18

• 30

What is the largest square number that divides evenly into 45?

• 16

• 9

• 4

• 25

What is the simplified form of the square root of 45 using the shortcut method?

• √45

• 9√5

• 5√3

• 3√5