Using rational approximations, what is an inequality statement comparing 81√ and 88√? Enter <, >, or =.
To compare 81√ and 88√ using rational approximations, we need to find the closest rational approximations for both numbers.
The square root of 81 is 9, so 81√ is approximately equal to 9.
The square root of 88 is approximately 9.38083, so 88√ is approximately equal to 9.38083.
Since 9 < 9.38083, we can conclude that 81√ < 88√.
Therefore, the inequality statement comparing 81√ and 88√ is 81√ < 88√.
To compare the values of 81√ and 88√ using rational approximations, we can find the square roots of these numbers:
√81 = 9
√88 ≈ 9.38083151964686
Since 9 is less than 9.38083151964686, we can say that 81√ < 88√.