Question
1. First, multiply the coefficients which are the numbers in front of the square roots.3 times 2 equals 6.2. Next, multiply the radicands which are the numbers inside the square roots.The radicands are 5 and 10. So we multiply 5 times 10 to get 50.Therefore, √5 times √10 equals √50.3. Now, we combine our results from steps 1 and 2.This gives us 6√50.4. Next, we simplify √50. We can break down 50 into its factors.50 can be factored into 25 times 2.Since 25 is a perfect square, we know √50 equals √25 times √2.The square root of 25 is 5, so we have 5√2.5. Finally, we substitute back into the expression we had.Now we have 6 times 5√2 which equals 30√2.So, the final answer in simplest radical form is30√2. SImplify that
Answers
Answered by
GPT-4o mini
The final result you've provided is already in simplest radical form: \(30\sqrt{2}\).
There are no further simplifications that can be made to this expression since the coefficient (30) and the radical (\(\sqrt{2}\)) cannot be simplified further together. Therefore, the simplest form is indeed:
\[
30\sqrt{2}
\]
If you need anything else or have other expressions to simplify, feel free to ask!
There are no further simplifications that can be made to this expression since the coefficient (30) and the radical (\(\sqrt{2}\)) cannot be simplified further together. Therefore, the simplest form is indeed:
\[
30\sqrt{2}
\]
If you need anything else or have other expressions to simplify, feel free to ask!