Simplifying Radicals with the Factor Tree Method

Miss Smith's math tutorial focuses on simplifying radicals, a crucial skill in mathematics. The video covers perfect squares, the factor tree method, and provides step-by-step examples. It also introduces advanced examples and tips for using calculators to verify solutions. The tutorial emphasizes understanding the process and offers strategies for students who struggle with math.

What is a perfect square?

• A number that is a prime number

• A number that can be divided by 2

• A number that is a multiple of 10

• A number that results in a whole number when its square root is taken

Which method does Miss Smith use to teach simplifying radicals?

• Factor Tree Method

• Multiplication Method

• Long Division Method

• Prime Factorization Method

What is the simplified radical form of the square root of 32?

• 4√2

• 2√8

• 16√2

• 8√2

What should you do if a number under the radical does not have a pair?

• Multiply it by 2

• Divide it by 2

• Leave it as it is

• Box it and leave it under the radical

How do you check if your simplified radical answer is correct using a calculator?

• Compare the original number with the simplified radical

• Multiply the simplified radical by 2

• Compare the decimals of the original radical and the simplified radical

• Check if the simplified radical is a whole number

What is the simplified form of 5√48?

• 20√3

• 15√3

• 25√3

• 10√3

What does the index number in a radical indicate?

• The number of factors needed to simplify the radical

• The number of times the radical should be multiplied

• The number of pairs needed to simplify the radical

• The number of times the radical should be divided

How do you simplify a radical with a variable, such as x^2?

• Divide the exponent by 2

• Add 2 to the exponent

• Multiply the exponent by 2

• Subtract 2 from the exponent

What is the simplified form of √75x^2y^4?

• 5xy^4√3

• 5x^2y^4√3

• 5xy^2√3

• 5x^2y^2√3

How do you handle a radical with a higher index, such as a fourth root?

• Look for pairs of 2

• Look for sets of 4

• Look for sets of 3

• Look for sets of 5