What is the square root of 16

General
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what is the square root of 16

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What is the square root of 16?

Answer:

  • Introduce the Concept: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is the number that, when multiplied by itself, equals 16.

Step 1: Understand the Concept

  • Definition: A square root of a number ( x ) is a number ( y ) such that ( y \times y = x ). In mathematical notation, it is represented as ( y = \sqrt{x} ).
  • Example: If ( y = \sqrt{16} ), then ( y \times y = 16 ).

Step 2: Calculate the Square Root of 16

  • Calculate the Value: To find the square root of 16, determine the number which, when multiplied by itself, results in 16.

    • Testing:
      • ( 2 \times 2 = 4 )
      • ( 3 \times 3 = 9 )
      • ( 4 \times 4 = 16 )

  • Result: Since ( 4 \times 4 = 16 ), the square root of 16 is 4.

Step 3: Conclusion

  • Verification: You can verify that 4 is indeed the square root of 16 because squaring 4 returns the original number, 16.

Final Answer:

The square root of 16 is 4.