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square root and Integers

The value of 3√180 is between which two integers?

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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3 *  √169 <3 *√180 < 3 *  √196
3 * 13  < 3 * √180 < 3 * 14
   39 <  3 * √ 180 < 42
Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
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Let x = 3√18. So, x > 0.
x^2 = 9*180 = 1620
40^2 = 1600
41^2 = 1680
So,
40^2< x^2 < 41^2
Answer: x is between 40 and 41.
Martinez W. | I will tutor students in prealgebra, algebra I & II.I will tutor students in prealgebra, alg...
5.0 5.0 (3 lesson ratings) (3)
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36 and 37
Jan H. | Math and engineering tutoring for all agesMath and engineering tutoring for all ag...
0
40 and 41