Math CentralQuandaries & Queries


Question from Danielle, a student:

The square root of 21 between what two numbers?

Hi Danielle,

I am going to look at the same question but with the number 43.

The square root of 43 between what two numbers?

I'm going to try some squares.

52 = 25 which is smaller than 43.
62 = 36 which is still smaller than 43.
72 = 49 which is larger than 43.

Thus 43 is between 62 and 72 and hence the square root of 43 is between 6 and 7.

Now you try 21,

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