Question

Find each square root. See Example 1. $$ -\sqrt{36} $$

   Find each square root. See Example 1.
$$
-\sqrt{36}
$$

Trigonometry

David I. Schneider;… 12th Edition

Chapter 0, Problem 15

Instant Answer

Solved by Expert Mukesh Devi

02/18/2023

Step 1

We know that $36$ can be written as $6^2$ (since $6 \times 6 = 36$). Show more…

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Find each square root. See Example 1. $$ -\sqrt{36} $$

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Key Concepts

Square Root

A square root of a number is a value that, when multiplied by itself, gives the original number. In standard contexts, the square root generally refers to the principal (non-negative) square root when dealing with non-negative numbers.

Principal Square Root

The principal square root is the unique non-negative solution to an equation of the form x² = a, where a is a non-negative number. This concept helps avoid ambiguity in mathematical expressions involving square roots.

Order of Operations

Order of operations is a fundamental rule in arithmetic that dictates which operations to perform first in a mathematical expression. In expressions involving radicals and additional arithmetic operations such as a preceding negative sign, it's important to evaluate the square root before applying external operations like multiplication by a negative.

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