Adding and Subtracting Radicals Explained

The video tutorial covers simplifying radicals, focusing on square roots and operations like addition and subtraction. It emphasizes the importance of identifying like terms, specifically like radicals, which have identical radicands. The tutorial provides examples and practice problems to illustrate how to combine like radicals by adding or subtracting their coefficients. It also highlights the necessity of simplifying radicals before determining if they are like terms, ensuring accurate combination.

What is the term used to describe the number inside the root symbol?

• Index

• Radicand

• Coefficient

• Exponent

When adding or subtracting radicals, what must be the same for the radicals to be combined?

• The coefficients

• The exponents

• The indices

• The radicands

How do you combine like radicals?

• Add the indices and keep the radicand

• Subtract the indices and keep the radicand

• Add the coefficients and keep the radicand

• Multiply the coefficients and add the radicand

What is the result of combining 2√5 and 7√5?

• 9√5

• 5√5

• 14√5

• 9√10

If you have 9√3 and subtract 4√3, what is the result?

• 5√3

• 13√3

• 5√6

• 3√3

In the expression √m - 7√m, what is the coefficient of the resulting term?

• 1

• -7

• 6

• -6

What should you do if the radicals appear to be different but might be simplified?

• Add the indices

• Ignore the coefficients

• Simplify each radical first

• Combine them directly

What is the simplified form of √75?

• 5√3

• 3√5

• 15

• 25√3

How do you find the perimeter of a triangle with sides 6√5, 13√5, and 10?

• Add the coefficients and keep the radicand

• Add all the terms directly

• Simplify the radicals first and then add

• Multiply the coefficients and add the radicand

What is the final simplified form of 5√3 - 6√3 + 4√3?

• 1√3

• 5√3

• 2√3

• 3√3