Square roots between integers, step by step
√10 does not come out even, but it is easy to place: it sits between 3 and 4.
The question
√446
21²=441
22²=484
441<446 < 484
√446is between21 and 22
√446>21
- Find the perfect squares on either side. 441 is 21² and 484 is 22², and 446 sits between them.
- So the root is between those two whole numbers: √446 is between 21 and 22.
- The smaller of the two is 21.
How it works.
- 01
Find the perfect squares on either side. 441 is 21² and 484 is 22², and 446 sits between them.
- 02
So the root is between those two whole numbers: √446 is between 21 and 22.
- 03
The smaller of the two is 21.