What is the square root of 81

General
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what is the square root of 81

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What is the square root of 81?

Answer: The square root of a number is a value that, when multiplied by itself, gives the original number. For the number 81, the square root can be determined as follows:

  1. Understanding Square Roots:

    • The square root of a number ( n ) is a number ( x ) such that ( x^2 = n ).

  2. Calculating the Square Root of 81:

    • We need to find a number ( x ) such that ( x^2 = 81 ).
    • By examining possible values, we find that ( 9 \times 9 = 81 ).

Therefore, the square root of 81 is ( 9 ).

In mathematical notation, this is represented as:

\sqrt{81} = 9

Additionally, it’s worth noting that the square root function can also return a negative value because ( (-9) \times (-9) = 81 ) as well. Hence, the complete answer includes both positive and negative roots:

\sqrt{81} = 9

However, in most practical contexts, the principal (positive) square root is used, which is ( 9 ).