Mastering The Fundamentals: And Applying Square Roots In Mathematics And Science

Square root

A number of such that a2=b. square root of b is the principle square root. -square root of b is the negative square root.

The square root of a number is a value that, when multiplied by itself, gives the original number. The symbol used to represent the square root is √.

For example, the square root of 25 is √25 = 5, because 5 x 5 = 25. In this case, 25 is the radicand.

Roots are either rational or irrational. Rational roots are those that can be expressed as a ratio of two integers, like the square root of 9 which is 3. Irrational roots can not be expressed as a ratio of two integers, and they go on forever without repeating, like the square root of 2.

To find the square root of a number manually, you can use long division, but this gets difficult with large numbers. Most calculators have a built-in square root function that can be used to find the square root of any number quickly.

There are many applications of square roots in mathematics and science. For example, the Pythagorean theorem uses square roots to find the length of one side in a right triangle if the other two sides are known. The square root function is also used in calculus to find the slope of a curve at a particular point.

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