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 (∛).

Tags

CCSS.8.NS.A.1

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 process for subtracting radicals?

Back

To subtract radicals, ensure they have the same index and radicand, then subtract their coefficients. For example, 5√7 - 11√7 = (5-11)√7 = -6√7.

Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression means to reduce it to its simplest form, which often involves factoring out perfect squares or cubes.

Front

How do you simplify √18?

Back

√18 can be simplified to √(9*2) = √9 * √2 = 3√2.

Front

What is the result of (3√2) - (3√18)?

Back

The result is -6√2 after simplifying 3√18 to 9√2.

Front

What is the result of (6√2) - (4√18)?

Back

The result is -6√2 after simplifying 4√18 to 12√2.

Front

What is the sum of (3√6) + (4√6)?

Back

The sum is 7√6.

Front

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

Back

The difference is 7√13.

Front

How do you combine like radicals?

Back

Combine like radicals by adding or subtracting their coefficients while keeping the radical part unchanged.