Square root 300 is between 17squared and 18squared

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Mathematics

12 December, 23:07

Square root 300 is between 17squared and 18squared

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Madelynn Sanford · Answer 1

17² < 300 < 18²

17*17 < 300 < 18*18

289 < 300 < 324

so true; )

√300 = √ (4*75) = 2√75 = 2√ (25*3) = 2√ (5*5*3) = 10√3

17 = (17 * √3) / √3

18 = (18 * √3) / √3

you can try to eliminate √3 and you will see that is true