Find the value of sqrt7 up to six decimal places.

To find the value of the square root of 7 (√7) up to six decimal places, we can use a calculator or a numerical method. The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, we want to find a number that, when squared, equals 7.

Calculating √7

Using a calculator, you can directly compute √7. The result is approximately 2.6457513110645906. However, since we need it rounded to six decimal places, we focus on the first six digits after the decimal point.

Rounding to Six Decimal Places

When rounding a number, you look at the digit immediately following the last digit you want to keep. For √7, the value is:

• 2.645751
• The next digit is 3.

Since 3 is less than 5, we do not round up. Therefore, the value of √7 rounded to six decimal places is:

2.645751

Verification of the Result

To ensure accuracy, we can square our result:

• 2.645751 × 2.645751 = 7.000000500001

This result is very close to 7, confirming that our approximation is indeed accurate. Thus, the final answer for the square root of 7, rounded to six decimal places, is:

2.645751