Question

Evaluate each square root without using a calculator. $$-\sqrt{81}$$

   Evaluate each square root without using a calculator.
$$-\sqrt{81}$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 5, Problem 32

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Solved by Expert Amy Jiang

07/20/2020

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This is because 9*9 equals 81. Show more…

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Evaluate each square root without using a calculator. $$-\sqrt{81}$$

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Key Concepts

Principal Square Root

The definition of the principal square root is important because it restricts the solution to non-negative numbers. This convention ensures consistency across mathematical operations, as the symbol ? is understood to represent only the non-negative square root of a non-negative number.

Negative Sign Handling

When a negative sign appears in front of a square root, it acts as a multiplier to the entire value of the square root. This means that after computing the non-negative square root of the number, the negative sign is applied to yield the final result. This reinforces the importance of operational order in evaluating expressions.

Square Root

The square root of a number is the value that, when multiplied by itself, gives the original number. In mathematics, the radical symbol (?) is typically used to denote the principal square root, which is defined as the non-negative solution of the equation x² = number.

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