Answered

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What is the value of [tex]\sqrt{10}[/tex] between?

A. 2 and 3

B. 3 and 4

C. 4 and 5

D. 5 and 6

Sagot :

GinnyAnswer
To determine between which two integers the value of [tex]\(\sqrt{10}\)[/tex] lies, let's breakdown our steps clearly.

1. Calculate the exact value of [tex]\(\sqrt{10}\)[/tex]:
[tex]\[ \sqrt{10} \approx 3.1622776601683795 \][/tex]

2. Identify the integer part of [tex]\(\sqrt{10}\)[/tex]:
- The integer part of [tex]\(3.1622776601683795\)[/tex] is [tex]\(3\)[/tex].

3. Determine the two consecutive integers:
- The integer part [tex]\(3\)[/tex] suggests that [tex]\( \sqrt{10}\)[/tex] lies between [tex]\(3\)[/tex] and the next integer, which is [tex]\(4\)[/tex].

To summarize, [tex]\(\sqrt{10}\)[/tex] lies between the integers [tex]\(3\)[/tex] and [tex]\(4\)[/tex].
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