Difference between revisions of "1957 AHSME Problems/Problem 13"
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We see that <math>A</math> and <math>B</math> are both irrational, so we look at <math>C, D,</math> and <math>E</math> | We see that <math>A</math> and <math>B</math> are both irrational, so we look at <math>C, D,</math> and <math>E</math> | ||
Recall that <math>\sqrt 2</math> is around <math>1.414</math>, and <math>\sqrt{3}</math> is around <math>1.732</math> | Recall that <math>\sqrt 2</math> is around <math>1.414</math>, and <math>\sqrt{3}</math> is around <math>1.732</math> | ||
− | So the only number between that is <math>\boxed{\textbf{(C) }1.5}</math> | + | So the only number between that is <math>\boxed{\textbf{(C) }1.5}</math>. |
~JustinLee2017 | ~JustinLee2017 |
Revision as of 09:18, 25 July 2024
Problem
A rational number between and
is:
We see that and
are both irrational, so we look at
and
Recall that
is around
, and
is around
So the only number between that is
.
~JustinLee2017
See Also
1957 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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All AHSME Problems and Solutions |
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