Adding and Subtracting Radicals

The video tutorial explains how to add and subtract radicals, emphasizing the need for the same index and radicand. It provides examples to demonstrate the process, including handling complex radical expressions. The key takeaway is to ensure indices and radicands match before performing operations on the coefficients.

What must be the same in order to add or subtract radicals?

• The indices and radicands

• The base numbers

• The coefficients

• The exponents

In the expression 2√2 + 3√2 - 10√2, what is the result?

• -5√2

• 5√2

• 15√2

• 0

Why can't 4√5 be added to 2√2?

• Different exponents

• Different indices

• Different radicands

• Different coefficients

Which of the following can be added together?

• 4√5 and 2√2

• 4√5 and 4√5

• 2√2 and 3√3

• 5√3 and 5√2

What is the result of adding 4√5 and -2√5?

• 2√5

• 0

• 6√5

• -2√5

What should you do with the coefficients when adding like radical terms?

• Multiply them

• Divide them

• Add or subtract them

• Ignore them

What is a key point to remember when working with radicals?

• Always multiply the radicands

• Focus only on the indices

• Ensure indices and radicands are the same before adding

• Ignore the coefficients

Which of the following is true about adding radicals?

• Radicals with different radicands can be added

• Radicals must have different indices to be added

• Radicals can be added regardless of their indices

• Only like radicals can be added

What happens if the indices of radicals are different?

• They must be divided

• They cannot be added

• They must be multiplied

• They can still be added