4. Find the square root of 3,136 and 7,569. Using these values, find the value of
root 75.69 + root 731.36 ÷
root 75.69 - root 31.36
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Answer:
Simplifying
75.69
.
75.69
=
100
7569
The factors of 7569 is 3×3×29×29 and the factors of 100 is 2×2×5×5.
So,
100
7569
=
2×2×5×5
3×3×29×29
=
2
2
×5
2
3
2
×29
2
=
(
2×5
3×29
)
2
=
10
87
=8.7
Therefore, the square root of 75.69 is 8.7.
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