Question

Square the expression. Write your answer in simplest form.
(–5–√11)^2

Answer 1

If the wrong word is used below, change it. If there is no error, click "Submit Answer."


Rosie is trying to spend ​fewer time playing video games this week.

Answer 2

To square the expression \((-5 - \sqrt{11})^2\), we can use the formula for squaring a binomial, which is:

\[
(a + b)^2 = a^2 + 2ab + b^2
\]

In this case, we have \(a = -5\) and \(b = -\sqrt{11}\).

Applying the formula:

\[
(-5 - \sqrt{11})^2 = (-5)^2 + 2(-5)(-\sqrt{11}) + (-\sqrt{11})^2
\]

Calculating each part:

1. \( (-5)^2 = 25 \)
2. \( 2(-5)(-\sqrt{11}) = 10\sqrt{11} \)
3. \( (-\sqrt{11})^2 = 11 \)

Now, combine these results:

\[
(-5 - \sqrt{11})^2 = 25 + 10\sqrt{11} + 11
\]

Adding \(25\) and \(11\):

\[
25 + 11 = 36
\]

So we can write:

\[
(-5 - \sqrt{11})^2 = 36 + 10\sqrt{11}
\]

Thus, the final answer in simplest form is:

\[
\boxed{36 + 10\sqrt{11}}
\]

Answer 3

The correct word is "less" instead of "fewer." The revised sentence should read:

"Rosie is trying to spend less time playing video games this week."