Find the difference.

Question

-2√13 and -5√13

Answer 1

To find the difference between \(-2\sqrt{13}\) and \(-5\sqrt{13}\), we can set it up as follows:

\[ -2\sqrt{13} - (-5\sqrt{13}) = -2\sqrt{13} + 5\sqrt{13} \]

Now, combine the terms:

\[ (-2 + 5)\sqrt{13} = 3\sqrt{13} \]

So, the difference between \(-2\sqrt{13}\) and \(-5\sqrt{13}\) is:

\[ 3\sqrt{13} \]

Answer 2

No slashes

Answer 3

Sure! Let's find the difference between -2√13 and -5√13 without using any slashes.

We can rewrite the problem as:

-2√13 - (-5√13)

This simplifies to:

-2√13 + 5√13

Now, combine the terms:

(-2 + 5)√13 = 3√13

So, the difference is:

3√13.

Answer 4

And why Is that? No slashes please

Answer 5

Certainly! Let's break it down step by step:

1. Understanding the Terms: We start with two terms: -2√13 and -5√13. Both terms are multiples of √13.

2. Finding the Difference: We want to find the difference between -2√13 and -5√13. This can be thought of as subtracting -5√13 from -2√13.

3. Rewriting the Expression: We can write this as: -2√13 - (-5√13)

4. Removing the Negative: Subtracting a negative number is the same as adding the positive. So we have: -2√13 + 5√13

5. Combining Like Terms: Now we combine the two terms. Since they both include √13, we just need to combine the coefficients: (-2 + 5)√13

6. Calculating the Coefficients: -2 + 5 equals 3.

7. Final Result: Therefore, we have: 3√13

Thus, the difference between -2√13 and -5√13 is 3√13.

Answer 6

Find the Sum: -11√6 + 9√6

Answer 7

To find the sum of -11√6 and 9√6, we can follow these steps:

1. Identify the Terms: We have two like terms: -11√6 and 9√6.

2. Combine the Coefficients: Since they are like terms (both include √6), we can simply add their coefficients: \[ (-11 + 9)√6 \]

3. Calculate the Coefficients: \[ -11 + 9 = -2 \]

4. Write the Result: Therefore, the sum is: \[ -2√6 \]

So, the sum of -11√6 and 9√6 is -2√6.