Algebra 2 - How to simplify the a radical with imaginary numbers, root(-45)

The video tutorial explains how to simplify radicals, especially when dealing with non-square numbers. It introduces the concept of square roots and the importance of simplifying radicals by factoring radicands using square numbers. The tutorial provides a detailed example of factoring the number 45 and addresses handling negative numbers in radicals, leading to the introduction of imaginary numbers. The lesson concludes with a summary of the key points covered.

What is the first step in simplifying a radical expression?

• Add the numbers under the radical

• Factor the radicand by a square number

• Divide the radicand by any number

• Multiply the numbers under the radical

Which of the following is a square number?

• 8

• 12

• 15

• 9

What is one method to factor the number 45?

• Divide by 2

• Add 10

• Use a factor tree

• Subtract 5

Why is it beneficial to rewrite 45 as 9 * 5 when simplifying radicals?

• Because 9 is a prime number

• Because 9 is a square number

• Because 5 is a prime number

• Because 45 is an even number

What is the square root of -1 known as?

• A rational number

• A complex number

• A real number

• An imaginary number