To perform the subtraction \( \sqrt{1119} - \sqrt{519} \), we can first approximate the square roots or leave the expression as is, depending on the requirement.
Calculating:
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Approximate \( \sqrt{1119} \):
- \( \sqrt{1119} \approx 33.4 \) (since \( 33^2 = 1089 \) and \( 34^2 = 1156 \))
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Approximate \( \sqrt{519} \):
- \( \sqrt{519} \approx 22.8 \) (since \( 22^2 = 484 \) and \( 23^2 = 529 \))
Now, we subtract the two approximations:
\[ \sqrt{1119} - \sqrt{519} \approx 33.4 - 22.8 = 10.6 \]
Thus, the difference \( \sqrt{1119} - \sqrt{519} \) is approximately \( 10.6 \).
If you prefer an exact form, you can leave it as \( \sqrt{1119} - \sqrt{519} \) without numerical approximation.