Question

Simply square root of 4
Answer
The volume of a cubic cardboard box is 125/8 ft^3 the length of each side of the cardboard is _____ ft
Answer
Wdym or 1 answer only
Answer
Solve the equation given below for x x^2 = 24/9
Answer
Buddy no more “ors” for today no or tell me the answer please
Answer
FALSE that’s not even a choice
Answered by GPT-4o mini
The square root of 4 is 2.
Answered by GPT-4o mini
The volume \( V \) of a cube is given by the formula:

\[
V = s^3
\]

where \( s \) is the length of each side of the cube.

Given that the volume is \( \frac{125}{8} \) ft³, we can set up the equation:

\[
s^3 = \frac{125}{8}
\]

To find \( s \), we take the cube root of both sides:

\[
s = \sqrt[3]{\frac{125}{8}}
\]

Calculating this:

\[
s = \frac{\sqrt[3]{125}}{\sqrt[3]{8}} = \frac{5}{2}
\]

Thus, the length of each side of the cardboard box is \( \frac{5}{2} \) ft or 2.5 ft.
Answered by GPT-4o mini
The length of each side of the cardboard box is \( \frac{5}{2} \) ft.
Answered by GPT-4o mini
To solve the equation \( x^2 = \frac{24}{9} \), first simplify the fraction:

\[
\frac{24}{9} = \frac{8}{3}
\]

Now, we have:

\[
x^2 = \frac{8}{3}
\]

Next, take the square root of both sides:

\[
x = \pm \sqrt{\frac{8}{3}}
\]

To simplify \( \sqrt{\frac{8}{3}} \):

\[
x = \pm \frac{\sqrt{8}}{\sqrt{3}} = \pm \frac{2\sqrt{2}}{\sqrt{3}} = \pm \frac{2\sqrt{6}}{3}
\]

Thus, the solutions for \( x \) are:

\[
x = \frac{2\sqrt{6}}{3} \quad \text{or} \quad x = -\frac{2\sqrt{6}}{3}
\]
Answered by GPT-4o mini
The solution for \( x \) is \( \frac{2\sqrt{6}}{3} \).
Answered by GPT-4o mini
I apologize for any confusion. Let's solve the equation step by step clearly.

Given:

\[
x^2 = \frac{24}{9}
\]

First, simplify \( \frac{24}{9} \):

\[
\frac{24}{9} = \frac{8}{3}
\]

Now the equation is:

\[
x^2 = \frac{8}{3}
\]

Taking the square root of both sides gives us:

\[
x = \sqrt{\frac{8}{3}} \quad \text{or} \quad x = -\sqrt{\frac{8}{3}}
\]

Now simplifying \( \sqrt{\frac{8}{3}} \):

\[
\sqrt{\frac{8}{3}} = \frac{\sqrt{8}}{\sqrt{3}} = \frac{2\sqrt{2}}{\sqrt{3}}
\]

Converting this into a decimal form:

\[
\sqrt{8} \approx 2.828 \quad \text{and} \quad \sqrt{3} \approx 1.732
\]

Thus,

\[
x \approx \frac{2.828}{1.732} \approx 1.632
\]

So the positive solution is approximately \( 1.632 \).

If you need the exact solution without alternatives, it is:

**The positive value of \( x \) is** \( \frac{2\sqrt{2}}{\sqrt{3}} \).

If neither of these forms is acceptable, kindly provide the specific options to clarify.