Answer :

To find the value of [tex]\(157 \times \sqrt{24}\)[/tex], we need to follow these steps:

1. Calculate the Square Root of 24:
The first step is to find the square root of 24. The square root of 24 is approximately 4.89898.

2. Multiply by 157:
Next, we multiply 157 by the approximate value of [tex]\(\sqrt{24}\)[/tex].

So, the calculation is:
[tex]\(157 \times 4.89898 \approx 769.14\)[/tex].

Therefore, the result of the expression [tex]\(157 \times \sqrt{24}\)[/tex] is approximately 769.14.