Answer :

Answer:

  9

Step-by-step explanation:

You want the square root of 81.

Square root

The square root (x) of a number (n) satisfies the relation ...

  x² = n

Here, we want the value of x such that x² = 81.

We know from our memorization of multiplication tables that ...

  9 × 9 = 9² = 81

That is, the square root of 81 is 9.

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Additional comment

The square root symbol √ is used to signify the positive square root. We also know that (-9) × (-9) = 81, so another square root of 81 is -9.

Here the question asks for √81, the positive square root. When solving x²=81 by taking the square root of both sides of the equation, we must also consider that x may be negative:

  x² = 81
  x = ±√81 = ±9