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How to Calculate a Positive Square Root

If you are even vaguely familiar with math terminology, you probably have heard the term "square root." This term describes a function in which you calculate which number times itself equals another number. Finding the square root of a number is the opposite of raising a number to the second power. Since taking the square root of a negative number equals an imaginary number, the only type of square root problems that you would be likely to see in a regular math class would involve positive square roots.

Instructions

    • 1

      Write down the problem involving the square root. For instance, you might have √25 or √37.

    • 2

      Refer to your multiplication tables to figure out which number times itself equals the number under the radical sign. For example, 5 times 5 equals 25, so you could easily determine that √25 equals 5. The number 25 is known as a "perfect square" because a whole number times itself equals this number. If the number is fairly large, you may need to enter the number into a calculator, followed by the radical symbol (√).

    • 3

      Estimate the square roots for numbers that aren't perfect squares if you don't have a calculator. For example, in the case of √37, you know that 6 times 6 equals 36, and 7 times 7 equals 49. Therefore, the answer must lie just above 6. Multiply various values times themselves until you get an answer that is as precise as you need. In this case, you could multiply 6.1 times 6.1 to get 37.21. Then you could try 6.05 times 6.05 to get 36.6. After a few more tries, you could narrow your answer to 6.08.

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