Using rational approximations, we can compare the values of √21 and √17.
√21 ≈ 4.5826
√17 ≈ 4.1231
Comparing the two values, we can see that √21 is greater than √17.
√21 > √17
using rational approximations, what is an inequality statement comparing √21 and √17
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3 answers
Thank you! Can you answer this question for me? For some reason it says that the answer isnt 10 and 9.5
Using a number line, what whole number and rational number to the nearest half is √97 between?
Using a number line, what whole number and rational number to the nearest half is √97 between?
To find a whole number and a rational number to the nearest half that √97 falls between, let's examine the square roots of nearby perfect squares.
The perfect square just below 97 is 81, with a square root of 9.
The perfect square just above 97 is 100, with a square root of 10.
Since √97 is greater than 9 (√81) and less than 10 (√100), we can conclude that the whole number √97 falls between is 9.
To find a rational number to the nearest half, we can look at √97's decimal approximation:
√97 ≈ 9.8488
Rounding 9.8488 to the nearest half gives us 10.
Therefore, √97 falls between the whole number 9 and the rational number 10.
The perfect square just below 97 is 81, with a square root of 9.
The perfect square just above 97 is 100, with a square root of 10.
Since √97 is greater than 9 (√81) and less than 10 (√100), we can conclude that the whole number √97 falls between is 9.
To find a rational number to the nearest half, we can look at √97's decimal approximation:
√97 ≈ 9.8488
Rounding 9.8488 to the nearest half gives us 10.
Therefore, √97 falls between the whole number 9 and the rational number 10.
2 answers