The decimal expansion of the square root of 2 (√2) is an irrational number and it goes on indefinitely without repeating. However, we can approximate it to a certain number of decimal places. The approximate value of √2 is:
√2 ≈ 1.41421356...
This decimal expansion continues infinitely without a pattern or repetition.
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Step-by-step explanation:
The decimal expansion of the square root of 2 (√2) is an irrational number and it goes on indefinitely without repeating. However, we can approximate it to a certain number of decimal places. The approximate value of √2 is:
√2 ≈ 1.41421356...
This decimal expansion continues infinitely without a pattern or repetition.
[tex]The \: decimal \: expansion \: of \\ \sqrt{2} \\ \\ \sqrt{2} = 1.4142[/tex]