To find the two consecutive whole numbers that [tex]\(\sqrt{50}\)[/tex] is between, let's consider the perfect squares closest to 50.
1. The nearest perfect square less than 50 is 49.
2. The nearest perfect square greater than 50 is 64.
Next, we determine the square roots of these perfect squares:
- The square root of 49 is 7, because [tex]\(7^2 = 49\)[/tex].
- The square root of 64 is 8, because [tex]\(8^2 = 64\)[/tex].
Therefore, [tex]\(\sqrt{50}\)[/tex] falls between the square roots of 49 and 64. Thus:
[tex]\[
7 < \sqrt{50} < 8
\][/tex]
So, [tex]\(\sqrt{50}\)[/tex] is between 7 and 8.
