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 square root?

Back

To simplify a square root, factor the number under the radical into its prime factors and look for pairs of factors.

Front

What is the square root of 16?

Back

4

Front

What is the square root of 25?

Back

5

Front

How do you express √125 in simplest radical form?

Back

5√5

Front

What is the simplest radical form of √75?

Back

5√3

Front

How do you simplify √80?

Back

Factor 80 into 16 and 5, then simplify to 4√5.

Front

What is the square root of 675 in simplest radical form?

Back

15√3

Front

What is the relationship between perfect squares and square roots?

Back

A perfect square is a number that can be expressed as the square of an integer, and its square root is an integer.

Front

What is the prime factorization of 80?

Back

2^4 * 5.