Adding and Subtracting Radicals

Front

What is a radical in mathematics?

Back

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

Front

How do you add radicals with the same index and radicand?

Back

You can add radicals with the same index and radicand by adding their coefficients. For example, (3√6) + (4√6) = (3+4)√6 = 7√6.

Front

What is the result of (5√7) - (11√7)?

Back

The result is -6√7.

Front

How do you simplify √25?

Back

√25 simplifies to 5.

Front

What is the sum of 2√5 + 4√5?

Back

The sum is 6√5.

Front

What does it mean to simplify a radical expression?

Back

To simplify a radical expression means to express it in its simplest form, removing any perfect squares or cubes from under the radical.

Front

What is the difference between like and unlike radicals?

Back

Like radicals have the same radicand and index, while unlike radicals do not. For example, 3√2 and 5√2 are like radicals, but 3√2 and 4√3 are unlike.

Front

How do you subtract unlike radicals?

Back

You cannot combine unlike radicals directly. You can only simplify or express them separately.

Front

What is the simplified form of 2√20?

Back

2√20 simplifies to 8√5.

Front

What is the product of √a * √b?

Back

The product is √(a*b).