In the olden days (1970's), we had charts to look up square roots that weren't perfect squares. ...or we memorized the ones that came up a lot like square root of 2 and 3.
Now (2012) you can just use a calculator: type in 21, then press the square root button which looks like a check mark with a horizontal line coming out from the top of the check mark. Sometimes it has an x under the horizontal line.
The answer will be in the calculator display.
OR...
If you know the perfect squares you can do a rudimentary calculation. 21 is between 16 and 25, so the answer will be between 4 and 5. Then you can do check and guess to get closer: 4.5 squared = 20.25, and 4.6 squared = 21.16, so the answer will be slightly more than 4.5. Now try 4.58 squared, which is 20.9764 & 4.59 squared is over 21, so the answer is between 4.58 & 4.59.
...and so on.
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The square root of 21 is 4.58257569495584.
21The square root of 441 is 21
441 has two square roots; 21 or -21.
It isn't. √22 + √23 = 9.486. √21 + √24 =9.482. its not that its more than that!!! its..... NOTHING!!! you got that??? NOTHING at all!!!
Expressed as a surd, the square root of 84 is equal to 2 sqrt (21). √84 = √(4 x 21) = √4√21 = 2√21