Problem 65 - Elementary Algebra

Question

For exercises \(65-68\), evaluate. $$ \sqrt{16} $$

Step-by-Step Solution

Answer

4

Step 1: Identify the Square Root Expression

The expression given is \(\text{\sqrt{16}}\). A square root asks for a number which, when multiplied by itself, gives the original number.

Step 2: Determine the Square Root

Look for a number that when multiplied by itself results in 16. The number is 4, because \(4 \times 4 = 16\).

Step 3: Conclude the Solution

Therefore, the square root of 16 is 4. Hence, \(\text{\sqrt{16} = 4}\).

Key Concepts

Square Roots

A square root is a number that, when multiplied by itself, gives the original number. In mathematical notation, it is represented by the radical symbol (√). When you see an expression like \(\text{\text{√}16}\), it asks for a number that equals 16 when squared.

• The symbol \(\text{\text{√}}\) denotes the square root.
• The expression inside the radical (in this case, 16) is known as the radicand.
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