add, subtract, multiply 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 simplify a radical?

Back

To simplify a radical, factor the number under the root into its prime factors and look for pairs (for square roots) or groups (for cube roots) to simplify.

Front

What is the square root of 16?

Back

4

Front

What is the product of √a and √b?

Back

√(a * b) (the product of two radicals is the square root of the product of the numbers).

Front

What is the sum of √2 and √2?

Back

2√2 (you can add radicals with the same index and radicand).

Front

What is the difference between √8 and √2?

Back

√8 - √2 = 2√2 - √2 = √2 (simplify √8 to 2√2 first).

Front

How do you add radicals with different radicands?

Back

You cannot directly add them; you must simplify them first if possible.

Front

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

Back

29√2.

Front

What is the simplified form of -3√20 - √5?

Back

-7√5.

Front

What is the product of √3 and √12?

Back

√(3 * 12) = √36 = 6.