Alright, let’s find the square roots of each of the given numbers:
### 1. Finding Square Roots
(a) 484
The square root of 484 is:
[tex]\[ \sqrt{484} = 22.0 \][/tex]
(b) 841
The square root of 841 is:
[tex]\[ \sqrt{841} = 29.0 \][/tex]
(c) 1849
The square root of 1849 is:
[tex]\[ \sqrt{1849} = 43.0 \][/tex]
(d) 2704
The square root of 2704 is:
[tex]\[ \sqrt{2704} = 52.0 \][/tex]
(f) 6724
The square root of 6724 is:
[tex]\[ \sqrt{6724} = 82.0 \][/tex]
(g) 7569
The square root of 7569 is:
[tex]\[ \sqrt{7569} = 87.0 \][/tex]
(h) 9801
The square root of 9801 is:
[tex]\[ \sqrt{9801} = 99.0 \][/tex]
### 2. Finding Square Roots of Mixed Numbers
(a) [tex]\(7 \frac{522}{529}\)[/tex]
First, convert the mixed number [tex]\(7 \frac{522}{529}\)[/tex] into an improper fraction:
[tex]\[ 7 + \frac{522}{529} = \frac{3703}{529} \][/tex]
Now, find the square root:
[tex]\[ \sqrt{\frac{3703}{529}} = 2.8260869565217392 \][/tex]
(b) [tex]\(8 \frac{617}{784}\)[/tex]
Convert the mixed number [tex]\(8 \frac{617}{784}\)[/tex] into an improper fraction:
[tex]\[ 8 + \frac{617}{784} = \frac{6745}{784} \][/tex]
Now, find the square root:
[tex]\[ \sqrt{\frac{6745}{784}} = 2.9642857142857144 \][/tex]
(c) [tex]\(2 \frac{766}{2209}\)[/tex]
Convert the mixed number [tex]\(2 \frac{766}{2209}\)[/tex] into an improper fraction:
[tex]\[ 2 + \frac{766}{2209} = \frac{4684}{2209} \][/tex]
Now, find the square root:
[tex]\[ \sqrt{\frac{4684}{2209}} = 1.5319148936170213 \][/tex]
By following these steps for each number, we have successfully determined their square roots.
