What is the square root of 25

General
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what is the square root of 25

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What is the square root of 25?

Answer:

To understand the concept of square roots, let’s begin with a basic definition.

  • Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number. It’s the inverse operation of squaring a number (multiplying a number by itself).

Step 1: Analyze the Number

When asked for the square root of 25, you are searching for a number ( x ) such that:

x \times x = 25

Step 2: Deduction Process

  1. Start by identifying possible factors of 25. The factors are numbers that multiply together to create 25.
  2. Since 25 is a perfect square (formed by squaring an integer), consider whole numbers first.
  3. Notice that ( 5 \times 5 = 25 ).

Step 3: Solution

Since 5 squared equals 25, the positive square root of 25 is 5. For completeness, in the set of real numbers, every positive number has two square roots: a positive and a negative one. Thus, both 5 and -5 satisfy the equation ( x^2 = 25 ).

Final Answer:

The square root of 25 is both ( 5 ) and ( -5 ), but when asked for “the square root of a positive number,” it usually refers to the principal (positive) root. Therefore, the principal square root of 25 is:

  • 5