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.
Multiply / Divide Radical Expressions.
Express in simplest radical form.
√6 √18
3 answers
Thats wrong bot
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.
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.
3 answers