add, subtract, multiply 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 or subtract radicals?

Back

You can add or subtract radicals only if they have the same radicand (the number under the root). For example, √7 + 2√7 = 3√7.

Front

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

Back

√7

Front

What is the process to simplify a radical?

Back

To simplify a radical, factor the number under the root into its prime factors and look for pairs of factors. For example, √18 = √(9*2) = 3√2.

Front

What is the result of -11√21 - 11√21?

Back

-22√21

Front

How do you multiply radicals?

Back

To multiply radicals, multiply the numbers outside the roots and the numbers inside the roots. For example, √2 * √3 = √(2*3) = √6.

Front

What is the result of 3√18 - √32 + 4√72?

Back

29√2

Front

What is the result of 3√8 + 3√2?

Back

9√2

Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression means to rewrite it in its simplest form, removing any perfect squares or cubes from under the root.

Front

What is the square root of 16?

Back

4