Use the calculator below to approximate √32 as a decimal to the hundredths place. Note that you must do the...

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Use the calculator below to approximate √32 as a decimal to the hundredths place.
Note that you must do the approximation without using a square root button. Your answer must be within a hundredth of the actual value.

SnapAndSolve AI · Accepted Answer

To approximate √32, we can find two perfect squares between which 32 lies. These are 25 (√25 = 5) and 36 (√36 = 6). Since 32 is closer to 36, we start with 5.5 and square it: 5.5 × 5.5 = 30.25. Since 30.25 is less than 32, we try a higher number, like 5.6: 5.6 × 5.6 = 31.36. This is still less than 32, so we try 5.7: 5.7 × 5.7 = 32.49. This is slightly more than 32, so we try 5.65: 5.65 × 5.65 = 31.9225. This is very close to 32. Therefore, √32 is approximately 5.65 to the hundredths place.

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Use the calculator below to approximate √32 as a decimal to the hundredths place. Note that you must do the...

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