Adding and Subtracting Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root (√) or cube root (∛).

Front

How do you simplify the square root of a product?

Back

The square root of a product can be simplified using the property √(a*b) = √a * √b.

Front

What is the process for adding radicals?

Back

To add radicals, they must have the same index and radicand. If they do, you can combine them by adding their coefficients.

Front

What is the process for subtracting radicals?

Back

Similar to addition, to subtract radicals, they must have the same index and radicand. You can then subtract their coefficients.

Front

How do you simplify √98?

Back

√98 can be simplified to √(49*2) = √49 * √2 = 7√2.

Front

What is the result of adding 8√2 and 13√3?

Back

8√2 + 13√3 cannot be simplified further as they are unlike terms.

Front

What is the cube root of a number?

Back

The cube root of a number x is a number y such that y^3 = x, denoted as ∛x.

Front

How do you combine like terms with radicals?

Back

Like terms with radicals can be combined by adding or subtracting their coefficients, provided they have the same radicand.

Front

What is the value of 9√2 + 4√2?

Back

The value is 13√2, as you can combine the coefficients (9 + 4).

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as such and have non-repeating, non-terminating decimal expansions.