Answer :
Sure! Let's find the value of [tex]\(157 \times \sqrt{24}\)[/tex].
### Step-by-Step Solution:
1. Calculate the Square Root of 24:
The first thing we need to do is calculate the square root of 24. The value of [tex]\(\sqrt{24}\)[/tex] is approximately 4.899.
2. Multiply by 157:
Now that we have the approximate value of [tex]\(\sqrt{24}\)[/tex], we can multiply it by 157 to get the final result.
[tex]\[
157 \times 4.899 \approx 769.14
\][/tex]
3. Conclusion:
Therefore, the value of [tex]\(157 \times \sqrt{24}\)[/tex] is approximately 769.14.
This step-by-step approach helps us understand how the multiplication with the square root of a number is carried out.
### Step-by-Step Solution:
1. Calculate the Square Root of 24:
The first thing we need to do is calculate the square root of 24. The value of [tex]\(\sqrt{24}\)[/tex] is approximately 4.899.
2. Multiply by 157:
Now that we have the approximate value of [tex]\(\sqrt{24}\)[/tex], we can multiply it by 157 to get the final result.
[tex]\[
157 \times 4.899 \approx 769.14
\][/tex]
3. Conclusion:
Therefore, the value of [tex]\(157 \times \sqrt{24}\)[/tex] is approximately 769.14.
This step-by-step approach helps us understand how the multiplication with the square root of a number is carried out.
