Math tutorial for subtracting two radical expressions by obtaining same radicands

The video tutorial explains the process of simplifying radicals before performing addition or subtraction. It emphasizes the need for radicans to be identical for these operations. The instructor demonstrates two methods: using factor trees and identifying square numbers that divide into the radican. An example is provided to illustrate the simplification process, followed by combining the simplified radicals by subtracting their coefficients. The tutorial concludes with the final answer, highlighting the importance of maintaining the radical expression while performing arithmetic operations.

Why is it important to simplify radicals before adding or subtracting them?

• To ensure the radicands are different

• To make the calculation easier

• To ensure the radicands are the same

• To avoid using square numbers

Which square number can be used to simplify the radical expression sqrt(27)?

• 16

• 25

• 9

• 4

What is the simplified form of sqrt(12) using square numbers?

• 2 sqrt(3)

• 3 sqrt(2)

• 4 sqrt(3)

• 2 sqrt(2)

When subtracting radical expressions, what part of the expression remains unchanged?

• The entire expression

• The square numbers

• The radicands

• The coefficients

What is the result of subtracting 8 sqrt(3) from 30 sqrt(3)?

• 22

• 38 sqrt(3)

• 30

• 22 sqrt(3)