The square root of 4489 is 67.

√4489 = 67, because 67 × 67 = 4489.

If that’s all you needed, you can close the tab happy. But if you’ve got homework to hand in or an exam coming up, you’ll probably need to show your working, and that’s what the rest of this page is for. We’ll go through three ways to get there: a ten-second estimation trick, prime factorization and long division. All three end at 67, so you can use one to check the other.