Evaluate square root of 0.4 correct upto two places of decimal
The correct answer and explanation is:
To evaluate the square root of 0.4 up to two decimal places, follow these steps:
- Understanding the square root: The square root of a number xx is a number yy such that y2=xy^2 = x. For 0.4, we need to find the number whose square is 0.4.
- Using a calculator: The most straightforward way to calculate the square root of 0.4 is by using a scientific calculator or a mathematical software tool. When you enter 0.4\sqrt{0.4}, the result is approximately 0.632455532.
- Rounding the result: Since we are asked to round the answer to two decimal places, the result becomes 0.63.
- Verification: To check if this is correct, square the rounded result. That is, calculate (0.63)2(0.63)^2, which equals 0.3969. This is close to 0.4, showing that 0.63 is a reasonably accurate approximation.
- Importance of rounding: In many real-world applications, values are rounded to a specific number of decimal places for simplicity or due to the precision of measuring instruments. In this case, rounding to two decimal places provides a good balance between accuracy and ease of use.
Conclusion: The square root of 0.4, correct up to two decimal places, is 0.63. This value is rounded from the more precise answer of 0.632455532.