Answer :
To find the value of the expression [tex]\(\frac{\sqrt{14.9 - 1.7}}{(6.3 + 0.07)^2}\)[/tex], follow these detailed steps:
1. Calculate the numerator:
[tex]\[ 14.9 - 1.7 = 13.2 \][/tex]
Now, find the square root of [tex]\(13.2\)[/tex]:
[tex]\[ \sqrt{13.2} \approx 3.6331804249169903 \][/tex]
2. Calculate the denominator:
[tex]\[ 6.3 + 0.07 = 6.37 \][/tex]
Next, square this value:
[tex]\[ (6.37)^2 = 40.5769 \][/tex]
3. Divide the numerator by the denominator:
[tex]\[ \frac{3.6331804249169903}{40.5769} \approx 0.08953814670211352 \][/tex]
Therefore, the value of the given expression is approximately [tex]\(0.08953814670211352\)[/tex].
1. Calculate the numerator:
[tex]\[ 14.9 - 1.7 = 13.2 \][/tex]
Now, find the square root of [tex]\(13.2\)[/tex]:
[tex]\[ \sqrt{13.2} \approx 3.6331804249169903 \][/tex]
2. Calculate the denominator:
[tex]\[ 6.3 + 0.07 = 6.37 \][/tex]
Next, square this value:
[tex]\[ (6.37)^2 = 40.5769 \][/tex]
3. Divide the numerator by the denominator:
[tex]\[ \frac{3.6331804249169903}{40.5769} \approx 0.08953814670211352 \][/tex]
Therefore, the value of the given expression is approximately [tex]\(0.08953814670211352\)[/tex].
