Pregunta
Insert the two whole numbers on both sides of \( v \) \( \square<\sqrt{24}<\square \)
Ask by Hardy Vega. in South Africa
Mar 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The two whole numbers are 4 and 5.
Solución
We need to find two whole numbers such that
\[
\square < \sqrt{24} < \square.
\]
**Step 1.**
Find two consecutive whole numbers \(a\) and \(a+1\) such that
\[
a^2 < 24 < (a+1)^2.
\]
**Step 2.**
Test \(a = 4\):
\[
4^2 = 16 \quad \text{and} \quad 5^2 = 25.
\]
Since
\[
16 < 24 < 25,
\]
it follows that
\[
4 < \sqrt{24} < 5.
\]
Thus, the two whole numbers are \(4\) and \(5\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
The square root of 24 can be approximated to about 4.9, as it's between the squares of 4 and 5 (since \(4^2=16\) and \(5^2=25\)). Therefore, the two whole numbers that fit the inequality are 4 and 5. So we can write it as: \( 4 < \sqrt{24} < 5 \)

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