Mastering Operations with Radicals

This video tutorial by Miss Smith covers the basics of adding and subtracting radicals. It explains key terms such as coefficient, index, and radicand, and emphasizes the importance of having the same index and radicand to combine radicals. The video provides multiple examples, demonstrating how to simplify radicals using like terms, the factor tree method, and recognizing perfect squares. Each example is broken down step-by-step to ensure understanding.

What is the term for the number or letter outside of the radical?

• Radicand

• Coefficient

• Index

• Root

What must be the same for radicals to be considered like terms?

• Only the index

• Only the radicand

• Both the index and radicand

• Neither the index nor the radicand

In the expression 3√6 - 2√6, what is the simplified result?

• 0

• 5√6

• √6

• 1

When combining like terms in radicals, what stays the same?

• Both the coefficient and radicand

• The radicand

• Neither the coefficient nor the radicand

• The coefficient

In the expression -√17x + 5√17x, what is the simplified result?

• 6√17x

• √17x

• 0

• 4√17x

Why can't √17x and √7 be combined?

• They have different coefficients

• They have different radicands

• They have different indices

• They are already simplified

What is the simplified form of √45?

• √9

• 9√5

• 5√3

• 3√5

In the expression √45 + 2√5 - 2√5, what is the simplified result?

• √5

• √45

• 5√5

• 3√5

Why can't 10√10 and -10 be combined?

• They have different radicands

• They have different coefficients

• They are not like terms

• They have different indices

What is the simplified form of √25?

• 5

• √5

• 10

• √10