Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

Front

How do you simplify √a * √b?

Back

√a * √b = √(a * b) for non-negative a and b.

Front

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

Back

The simplified form is |x|, the absolute value of x.

Front

What is the process to simplify √(a^2 * b)?

Back

The process involves taking the square root of a^2 (which is a) and leaving b under the radical: √(a^2 * b) = a√b.

Front

What is the simplified form of √(36)?

Back

The simplified form is 6.

Front

How do you simplify √(m^2 * n^2)?

Back

The simplified form is mn.

Front

What is the simplified form of √(50)?

Back

The simplified form is 5√2.

Front

How do you simplify √(x^4)?

Back

The simplified form is x^2.

Front

What is the simplified form of √(144)?

Back

The simplified form is 12.

Front

How do you simplify √(a^2b)?

Back

The simplified form is a√b.