11.15 ReDOL Radical Exponents/Simplify 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 √24?

Back

2√6

Front

What is the simplified form of √45?

Back

3√5

Front

What is the process of simplifying radicals?

Back

To simplify radicals, factor the number under the radical into its prime factors and extract any perfect squares.

Front

What is the simplified form of √243?

Back

9√3

Front

How do you simplify the expression (x^(2/3))^6?

Back

x^4

Front

What is the value of √(a^2)?

Back

|a| (the absolute value of a).

Front

What does it mean to express a number in radical form?

Back

Expressing a number in radical form means writing it using a root symbol, such as √ or ∛.

Front

How do you simplify 5√80?

Back

20√5

Front

What is the relationship between exponents and radicals?

Back

Radicals can be expressed as fractional exponents; for example, √x = x^(1/2).