Square root of 590.8 using four figure table
The square root of 590.8 using a four-figure table is approximately 24.31.
To find the square root of 590.8 using a four-figure table, you can follow these steps:
1. Look for the square root of the closest lower perfect square in the table. In this case, the closest lower perfect square is 576 (which is 24 × 24).
2. Identify the two numbers in the table that bracket or bound 590.8. In this case, the closest numbers that bracket 590.8 are 24 and 25.
3. Find the difference between the square root of the higher number (25) and the lower number (24):
√25 - √24 = 5 - 4.898 = 0.102
4. Divide the difference from step 3 by the difference between the square of the higher number (25) and the given number (590.8):
0.102 / (25^2 - 590.8) = 0.102 / (625 - 590.8) = 0.102 / 34.2 ≈ 0.002982
5. Add the result from step 4 to the lower number (24):
24 + 0.002982 ≈ 24.002982
Therefore, the four-figure approximation of the square root of 590.8 is approximately 24.003.