Square Root/Examples

From ProofWiki
Jump to navigation Jump to search

Examples of Square Roots

Some examples of the decimal expansions of the square roots of various other numbers are as follows:


Square Root of $2$

The decimal expansion of the square root of $2$ starts:

$\sqrt 2 \approx 1 \cdotp 41421 \, 35623 \, 73095 \, 04880 \, 16887 \, 24209 \, 69807 \, 85697 \ldots$


Square Root of $3$

The decimal expansion of $\sqrt 3$ starts:

$\sqrt 3 \approx 1 \cdotp 73205 \, 08075 \, 68877 \, 2935 \ldots$


Square Root of $5$

The decimal expansion of $\sqrt 5$ starts:

$\sqrt 5 \approx 2 \cdotp 23606 \, 79774 \, 99789 \, 6964 \ldots$


Square Root of $10$

The decimal expansion of $\sqrt {10}$ starts:

$\sqrt 10 \approx 3 \cdotp 16227 \, 76601 \, 68379 \, 33199 \, 88935 \, 44432 \, 71853 \, 3719 \ldots$


Square Root of $e$

The decimal expansion of Euler's Number $e$ starts:

$\sqrt e \approx 1 \cdotp 64872 \, 12707 \, 00128 \, 1468 \ldots$