Using rational approximations, what statement is true?

√81 < 9
√71 > √61
√71 < √61
√81 > 9

1 answer

√81 = 9, so the statement "√81 < 9" is not true.

√71 cannot be expressed as a rational number, so it cannot be compared directly to √61 using rational approximations. Therefore, none of the statements "√71 > √61" or "√71 < √61" can be determined to be true or false using rational approximations.

√81 = 9, so the statement "√81 > 9" is not true.
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