Using rational approximations, what is an inequality statement comparing π
and 8–√
? Enter <, >, or =.
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To compare π and 8–√, we can use rational approximations for both numbers and then compare them.
Let's start with π:
To two decimal places, π is approximately 3.14.
Next, let's approximate 8–√:
The square root of 8 is approximately 2.83.
So, 8–√ would be approximately 8 - 2.83 = 5.17.
Comparing these two approximations, we can say that 3.14 < 5.17.
Therefore, the inequality statement comparing π and 8–√ is π < 8–√.