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Answer :
We want to determine between which two consecutive integers the square root of [tex]$38.4$[/tex] lies.
1. First, we compute the square root of [tex]$38.4$[/tex]. We find that
[tex]$$\sqrt{38.4} \approx 6.1968.$$[/tex]
2. The next step is to identify the two closest integers that this value lies between. Since [tex]$6.1968$[/tex] is greater than [tex]$6$[/tex] but less than [tex]$7$[/tex], it lies between [tex]$6$[/tex] and [tex]$7$[/tex].
3. Therefore, the two consecutive integers between which [tex]$\sqrt{38.4}$[/tex] lies are [tex]$6$[/tex] and [tex]$7$[/tex].
1. First, we compute the square root of [tex]$38.4$[/tex]. We find that
[tex]$$\sqrt{38.4} \approx 6.1968.$$[/tex]
2. The next step is to identify the two closest integers that this value lies between. Since [tex]$6.1968$[/tex] is greater than [tex]$6$[/tex] but less than [tex]$7$[/tex], it lies between [tex]$6$[/tex] and [tex]$7$[/tex].
3. Therefore, the two consecutive integers between which [tex]$\sqrt{38.4}$[/tex] lies are [tex]$6$[/tex] and [tex]$7$[/tex].
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