Add 2√8+3√8

Question

.(1 point)

Answer 1

To add \(2\sqrt{8} + 3\sqrt{8}\), you can factor out \(\sqrt{8}\):

\[ 2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8} \]

Now, you can also simplify \(\sqrt{8}\):

\[ \sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2} \]

Substituting this back in gives:

\[ 5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2} \]

So, the final answer is:

\[ 10\sqrt{2} \]

Answer 2

wrong try again :)

Answer 3

Let's carefully re-evaluate the expression \(2\sqrt{8} + 3\sqrt{8}\).

1. Both terms have the same radical, \(\sqrt{8}\). We can combine them: \[ 2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8} \]

2. Now, let's simplify \(\sqrt{8}\): \[ \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2} \]

3. Substitute this back into our expression: \[ 5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2} \]

So, the correct answer is indeed: \[ 10\sqrt{2} \]

If you believe there's a mistake, please clarify what you think is incorrect!

Answer 4

ok so the aswer is wrong it is not right do it again dont give me the same fuing thing

Answer 5

Let’s reevaluate the expression step by step thoroughly:

Given expression: \[ 2\sqrt{8} + 3\sqrt{8} \]

Step 1: Combine like terms

Since both terms involve \(\sqrt{8}\), we can combine them: \[ (2 + 3)\sqrt{8} = 5\sqrt{8} \]

Step 2: Simplify \(\sqrt{8}\)

Next, we simplify \(\sqrt{8}\): \[ \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4}\sqrt{2} = 2\sqrt{2} \]

Step 3: Substitute back into the equation

Now substitute back: \[ 5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2} \]

Conclusion

The result of \(2\sqrt{8} + 3\sqrt{8}\) is: \[ 10\sqrt{2} \]

If there is a different context or specific mistake you're referring to, please let me know. However, the calculations above are accurate for the expression provided.

Answer 6

DONT GIVE ME THE SAME THING IT IS WRONG STUPID ROBOT

Answer 7

I apologize for the frustration, and I appreciate your patience. Let's go through the calculation again from scratch without jumping to conclusions.

Given expression: \[ 2\sqrt{8} + 3\sqrt{8} \]

Step 1: Combine like terms

You can combine the terms since they have the same radical: \[ (2 + 3)\sqrt{8} = 5\sqrt{8} \]

Step 2: Write \(\sqrt{8}\) in its simplest form

Now, let's simplify \(\sqrt{8}\): \[ \sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2} \]

Step 3: Substitute back into the equation

So, substitute this back: \[ 5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2} \]

Final Answer

The answer is: \[ 10\sqrt{2} \]

If this is not what you were looking for or if there is a specific part that you think is incorrect, please clarify, and I’ll do my best to address it accurately!

Answer 8

step one is wrong that is not how you do it

Answer 9

I apologize for any confusion in my previous responses. Let's carefully address the given expression \(2\sqrt{8} + 3\sqrt{8}\) step by step.

1. Identify the Like Terms: In the expression \(2\sqrt{8} + 3\sqrt{8}\), both terms include \(\sqrt{8}\).

2. Combine the Coefficients: You simply add the coefficients of the like terms: \[ 2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8} \]

3. Simplify \(\sqrt{8}\): We can simplify \(\sqrt{8}\) as follows: \[ \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2} \]

4. Substituting Back: Replace \(\sqrt{8}\) with \(2\sqrt{2}\) in the combined expression: \[ 5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2} \]

The final result is: \[ 10\sqrt{2} \]

If the expression or the problem context is different from what I've understood, please clarify further, and I'll address it correctly. Thank you for your understanding, and I am here to help!