Estimate the value of the square root of 2 plus pie to the nearest hundredth.
2^2= 4
4+3.14= 7.14
1.4142 + 3.1416 = 4.5558 = 4.56
To estimate the value of the square root of 2 plus pi (π) to the nearest hundredth, we will need to calculate the square root of 2 and add it to the value of pi.
1. Start by finding the square root of 2. You can use a calculator or a mathematical function in programming languages like Python or JavaScript. The square root of 2 is approximately 1.4142135624 (rounded to the 10th decimal place).
2. Next, add this value to pi (π). Pi is approximately 3.1415926535 (rounded to the 10th decimal place).
1.4142135624 + 3.1415926535 = 4.5558062159 (rounded to the 10th decimal place)
3. Finally, round the sum to the nearest hundredth. The hundredth place is the second decimal place after the decimal point.
Rounding 4.5558062159 to the nearest hundredth gives us 4.56.
Therefore, the estimated value of the square root of 2 plus pi (π) to the nearest hundredth is 4.56.