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b) Estimate the value of [tex]\sqrt{97.5} \div 1.96[/tex].

Sagot :

Alright, let's go step-by-step to solve the problem of estimating the value of [tex]\(\sqrt{97.5} \div 1.96\)[/tex].

1. First, we need to find the square root of 97.5. Doing this will give us the intermediate value we need before we proceed to the division.

[tex]\[ \sqrt{97.5} \approx 9.8742 \][/tex]

2. Next, we need to divide this result by 1.96. We already have the square root calculated, so the final step is straightforward:

[tex]\[ \frac{9.8742}{1.96} \approx 5.0379 \][/tex]

So, the estimated value of [tex]\(\sqrt{97.5} \div 1.96\)[/tex] is approximately [tex]\( 5.0379 \)[/tex].
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