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Chapter 0: Problem 47

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt{9+16} $$

Short Answer

Expert verified
The expression \(\sqrt{9 + 16}\) simplifies to \(\sqrt{25}\), which evaluates to an exact value of 5. No rounding is necessary.

Step by step solution

01

Add the numbers inside the square root

First, we need to add the numbers inside the square root. In our case, we have \[ 9 + 16 \] Add the numbers: \[ 25 \]
02

Find the square root of the result

Now, we need to find the square root of the sum we obtained in step 1. In our case, we have \[ \sqrt{25} \] Find the square root: \[ 5 \]
03

Determine if rounding is necessary

Since the square root is an exact number (5) and not a decimal, there is no need to round the answer to four significant digits. The final result of evaluating the expression \(\sqrt{9 + 16}\) is 5.

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