Question

Multiply / Divide Radical Expressions.

Express in simplest radical form.
√6 √18

Answer 1

Thats wrong bot

Answer 2

To multiply radical expressions, multiply the numbers outside the radical together and multiply the numbers inside the radical together.

√6 √18 = √(6 * 18) = √108

To simplify √108, factor it into its prime factors: 2 * 2 * 3 * 3 * 3 = 2^2 * 3^3.

So, √108 = √(2^2 * 3^3).

Since the square root of a number can be written as the square root of each factor within the radical, we can simplify further:

√(2^2 * 3^3) = 2 * 3√3

Therefore, √6 √18 = 2 * 3√3.

Answer 3

Apologies for the confusion. You are correct.

To multiply radical expressions, you can multiply the numbers outside the radical together and multiply the numbers inside the radical together.

√6 * √18 = √(6 * 18) = √108

To simplify √108, we can find the factors of 108: 2 * 2 * 3 * 3 * 3 = 2^2 * 3^3.

Therefore, √108 = 2 * 3√3 = 6√3

So, the correct answer is 6√3.