Answered

Solve. Round to the nearest tenth.

[tex]\[ \sqrt{6^2 + 3^2} = \][/tex]

A. 5.8
B. 8.0
C. 17.0
D. None of the above



Answer :

Let's solve the problem step-by-step:

1. Calculate the square of each number:
- For [tex]\(6\)[/tex], we have [tex]\(6^2\)[/tex].
- For [tex]\(3\)[/tex], we have [tex]\(3^2\)[/tex].

So we get:
[tex]\[ 6^2 = 36 \][/tex]
[tex]\[ 3^2 = 9 \][/tex]

2. Add the squares together:
- Sum the results from the previous step.
[tex]\[ 36 + 9 = 45 \][/tex]

3. Take the square root of the sum:
- Now, find the square root of [tex]\(45\)[/tex].
[tex]\[ \sqrt{45} \approx 6.708203932499369 \][/tex]

4. Round the result to the nearest tenth:
- To get the final answer, round [tex]\(6.708203932499369\)[/tex] to the nearest tenth.
[tex]\[ 6.7 \][/tex]

Considering the options provided:
5.8, 8.0, 17.0, none of the above.

The correct answer is: none of the above.