What integer lies between √181 and √200

Answer 1

Since someone has already provided an answer using a calculator, here is a strategy you can use to figure this out without a calculator:

1) The square root of a number is equal to a number multiplied by itself. For example, the square root of 4 is 2x2.

2) You can make an easy educated guess based on the number range (181-200) that the integer is larger than 10 (because 10x10=100). You may also know that the integer is greater than 12 (because 12x12=144) and less than 15 (because 15x15=225).

3) Based on your educated guess, you can now find the exact number through simple multiplication and trial and error: 13x13=169 (not correct), 14x14=196 (correct!)

Answer 2

use a calculator with a square root function

sqr200 = 10sq2 = about 14.14

sqr191 = about 13.82

the integer between them is 14

13.82 < 14 < 14.14

sqr191 < 14 < sqr200