Simplifying Radicals (new)

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

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is the square root of 25?

Back

5

Front

How do you simplify √32?

Back

√32 = √(16 * 2) = 4√2.

Front

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

Back

√(a^2) = a, assuming a is non-negative.

Front

What is the square root of x^6?

Back

√(x^6) = x^3.

Front

How do you simplify √(ab)?

Back

√(ab) = √a * √b.

Front

What is the simplified form of √18?

Back

√18 = √(9 * 2) = 3√2.

Front

What is the simplified form of 12√60?

Back

12√60 = 12√(4 * 15) = 24√15.

Front

What is the square root of 9?

Back

3