Question

5(24427) - (515)(538) divided by the square root of (5(53054) - (538)^2)(5(79925) - (538)^2)

Explanation:

Step1: Calculate numerator terms

$5(24427) = 122135$, $(515)(538) = 277070$

Step2: Compute numerator value

$122135 - 277070 = -154935$

Step3: Calculate denominator left factor

$5(53054) = 265270$, $(538)^2 = 289444$
$265270 - 289444 = -24174$

Step4: Calculate denominator right factor

$5(7925) = 39625$, $(538)^2 = 289444$
$39625 - 289444 = -249819$

Step5: Multiply denominator factors

$(-24174)(-249819) = 6039124506$

Step6: Compute square root of product

$\sqrt{6039124506} \approx 77711.804$

Step7: Divide numerator by denominator

$\frac{-154935}{77711.804} \approx -1.994$

Answer:

$\approx -1.994$