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Because many square roots are Irrational Numbers that can not be computed to an exact value for lack of space to continue an infinite string of digits after the decimal point.

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Q: Why do you say approximate rather than compute for square roots?
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Why do you say approximate rather than compute when finding square roots when using a calculator or spreadsheet?

Well, it's both: you're using a machine to compute an approximation. Why isn't it exact? Most square roots (such as the square root of two) are irrational numbers, so their decimal representation requires an infinite number of digits. We humans have to have finite answers, hence we round off.


How do you compute square roots mentally?

There are many ways to do it. Have a look at the Wikipedia article (check the link).


How do you compute square root of 2 manually?

See the related link for a detailed description of a manual method for calculating square roots.


How do you compute a square root?

Square roots are computed using the Babylonian method, calculators, Newton's method, or the Rough estimation method. * * * * * Or the Newton-Raphson method.


How do you calculate square roots as irrational numbers?

You can approximate a square root as a decimal or fraction. If you want the exact number, you have to leave it with the square root sign.


How is combining like terms similar to adding and subtracting square roots?

In surd form, square roots need to be have the same radical term before you can add or subtract them. However, unlike in algebraic expressions, it is possible to add or subtract square roots using approximate (decimal) values.


How would you mentally compute irrational numbers?

Usually with great difficulty. The answer also depends on the nature of the irrational number - whether it is simply a square root or if it is a combination of roots of different orders.


What is the square root of 11449?

The square roots are -1.07 and +1.07The square roots are -1.07 and +1.07The square roots are -1.07 and +1.07The square roots are -1.07 and +1.07


Can ALU do square roots?

No - computing a square root with any degree of accuracy is both a numerical and iterative process. Because of this, it can not be calculated with a combinatorial circuit like an ALU. It requires a sequential circuit, so you at the very least need some memory paired with the ALU to compute a square root. If you are interested in the numerical methods for calculating square roots, go see the wikipedia page on the topic (check the link).


What is the square root of 2 square inches?

square inches do not have square roots only number have square roots.


What is the difference between perfect and nonperfect square roots?

Perfect square roots are square roots that have a whole number that can go into it perfectly. Nonperfect square roots are square roots that have decimal numbers going into it. Example: Perfect Square Root: 144- Square Root: 12 Nonperfect Square Root: 24- Square Root: About 4.89


Are all square roots of even numbers rational?

No. The square roots 8 are irrational, as are the square roots of most even numbers.