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Chapter 0: Problem 45

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

Short Answer

Expert verified
The expression can be evaluated as follows: 1. Find the square roots: \(\sqrt{9}=3\) and \(\sqrt{16}=4\). 2. Add the values: \(3+4=7\). 3. The answer is 7, which doesn't need rounding. Thus, \(\sqrt{9}+\sqrt{16}=7\).

Step by step solution

01

Evaluate the square roots

To evaluate the expression, first, find the square roots of both numbers. $$ \sqrt{9} = 3\\ \sqrt{16} = 4 $$
02

Add the values

Now, add the values we obtained from the square roots: $$ 3+4 = 7 $$
03

Check if rounding is needed

In this case, our answer is 7, which doesn't need any rounding, as 7 is already given to the required four significant digits. The final answer is: $$ \sqrt{9}+\sqrt{16} = 7 $$

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