Add/Subtract 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 simplify a radical expression?

Back

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

Front

What is the square root of 24?

Back

The square root of 24 can be simplified to 2√6.

Front

What is the first step in adding or subtracting radicals?

Back

Ensure that the radicals have the same index and radicand (the number under the radical). If they do not, they cannot be combined.

Front

How do you add √2 and √2?

Back

√2 + √2 = 2√2.

Front

What is the result of -3√24 - √18 - 2√54?

Back

-12√6 - 3√2.

Front

What does it mean for radicals to be like terms?

Back

Radicals are like terms if they have the same index and radicand, allowing them to be added or subtracted.

Front

How do you subtract radicals?

Back

Subtract the coefficients of like radicals while keeping the radical part unchanged.

Front

What is the simplified form of √50?

Back

√50 simplifies to 5√2.

Front

Can you add √3 and √5? Why or why not?

Back

No, you cannot add √3 and √5 because they are not like terms.