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Answer :
To solve the problem of multiplying 157 by the square root of 24, we will go through the process step by step.
1. Calculate the Square Root of 24:
- First, we need to find the value of [tex]\(\sqrt{24}\)[/tex].
- The square root of a number is a value that, when multiplied by itself, gives the original number.
- The approximate value of [tex]\(\sqrt{24}\)[/tex] is 4.899 (rounded to three decimal places).
2. Multiply 157 by the Square Root of 24:
- Now, we take the number 157 and multiply it by the approximate value of [tex]\(\sqrt{24}\)[/tex].
- [tex]\[ 157 \times 4.899 \approx 769.14 \][/tex]
Therefore, the product of 157 and the square root of 24 is approximately 769.14.
1. Calculate the Square Root of 24:
- First, we need to find the value of [tex]\(\sqrt{24}\)[/tex].
- The square root of a number is a value that, when multiplied by itself, gives the original number.
- The approximate value of [tex]\(\sqrt{24}\)[/tex] is 4.899 (rounded to three decimal places).
2. Multiply 157 by the Square Root of 24:
- Now, we take the number 157 and multiply it by the approximate value of [tex]\(\sqrt{24}\)[/tex].
- [tex]\[ 157 \times 4.899 \approx 769.14 \][/tex]
Therefore, the product of 157 and the square root of 24 is approximately 769.14.
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