Adding and Subtracting Radicals

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you add radicals?

Back

You can add radicals by combining like terms, which means adding the coefficients of the radicals that have the same index and radicand.

Front

What is a like radical?

Back

Like radicals are radicals that have the same index and the same radicand, allowing them to be combined.

Front

What is the result of 4√7 - 10√7 + 7√7?

Back

√7

Front

How do you simplify √(a^2) where a is a positive number?

Back

√(a^2) simplifies to a.

Front

What is the result of (13√13) - (6√13)?

Back

7√13

Front

What is the result of (5√3) + (6√3)?

Back

11√3

Front

How do you simplify √(20)?

Back

√(20) simplifies to 2√5.

Front

What is the result of (3√6) + (4√6)?

Back

7√6

Front

What is the process of simplifying radicals?

Back

Simplifying radicals involves reducing the radicand to its simplest form, often by factoring out perfect squares.