Simplifying radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent the root of a number, most commonly the square 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 of factors to take out of the radical.

Front

What is the square root of 1?

Back

The square root of 1 is 1.

Front

What is the square root of 0?

Back

The square root of 0 is 0.

Front

What is the prime factorization of 243?

Back

The prime factorization of 243 is 3^5.

Front

How do you simplify √243?

Back

√243 = √(81 * 3) = √81 * √3 = 9√3.

Front

What is the prime factorization of 32?

Back

The prime factorization of 32 is 2^5.

Front

How do you simplify √32?

Back

√32 = √(16 * 2) = √16 * √2 = 4√2.

Front

What is the prime factorization of 200?

Back

The prime factorization of 200 is 2^3 * 5^2.

Front

How do you simplify √200?

Back

√200 = √(100 * 2) = √100 * √2 = 10√2.