To solve the expression \(57 \sqrt{431}\), follow these detailed steps:
1. Understand the components of the expression:
- The expression involves a constant multiplier, which is 57.
- It also includes the square root of the number 431.
2. Calculate the square root of 431:
- The square root of 431 is approximately 20.7605.
3. Multiply the constant by the square root:
- Now, we need to multiply 57 by the square root of 431 (which is 20.7605).
- Carry out the multiplication: \(57 \times 20.7605\).
4. Find the product:
- The result of the multiplication \(57 \times 20.7605\) is approximately 1183.351.
Thus, \(57 \sqrt{431} \approx 1183.351\).
So the square root of 431 is approximately 20.7605, and multiplying by 57 yields approximately 1183.351.
