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 48 simplified?

Back

4√3

Front

What is the square root of 45 simplified?

Back

3√5

Front

What is the square root of 125 simplified?

Back

5√5

Front

What is the square root of 32 simplified?

Back

4√2

Front

What is the principle of simplifying radicals?

Back

The principle involves expressing the radical in its simplest form by removing perfect squares from under the radical.

Front

What is a perfect square?

Back

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

Front

How do you identify perfect squares?

Back

Perfect squares are numbers like 1, 4, 9, 16, 25, etc., which are the squares of integers (1^2, 2^2, 3^2, etc.).

Front

What is the simplified form of √(a^2)?

Back

The simplified form of √(a^2) is |a|, which represents the absolute value of a.