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Square Root

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Introduction:

The square root of a number is a fundamental concept in mathematics. It represents a value that, when multiplied by itself, gives the original number.



Understanding Square Root:



The square root of a number is denoted by the radical symbol √.

Finding the square root means determining a number which, when squared (multiplied by itself), equals the given number.

Example of Square Root:



The square root of 16 is calculated as follows:

What number multiplied by itself equals 16?

Since 4 × 4 = 16, the square root of 16 is 4.

This is written as √16 = 4.

Key Points to Remember:



Every positive number has two square roots: one positive and one negative. For example, the square roots of 16 are 4 and -4.

The square root of zero is zero, and negative numbers do not have real square roots.

Practical Applications:



Square roots are used in various areas of mathematics, including algebra and geometry, and in practical applications like architecture and engineering.

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