To evaluate [tex]\(\sqrt{2}\)[/tex] up to two decimal places, follow these steps:
1. Calculate the square root of 2: The value of [tex]\(\sqrt{2}\)[/tex] is approximately [tex]\(1.4142135623730951\)[/tex].
2. Rounding to two decimal places: To round the calculated value to two decimal places, look at the third decimal place to determine whether to round up or keep the second decimal place the same.
- In [tex]\(1.4142135623730951\)[/tex], the third decimal place is [tex]\(4\)[/tex].
- Since [tex]\(4\)[/tex] is less than [tex]\(5\)[/tex], we do not round up and keep the second decimal place unchanged.
Therefore, the value of [tex]\(\sqrt{2}\)[/tex] rounded to two decimal places is [tex]\(1.41\)[/tex].
Hence, [tex]\(\sqrt{2} \approx 1.41\)[/tex] when rounded to two decimal places.
