Question

which two integers is \\(\sqrt{50}\\) between? 6 and 7, 8 and 9, 7 and 8, 9 and 10

Explanation:

Step1: Find squares of integers

Calculate squares of consecutive integers: \(6^2 = 36\), \(7^2 = 49\), \(8^2 = 64\), \(9^2 = 81\), \(10^2 = 100\).

Step2: Compare with 50

We know \(49 < 50 < 64\), so \(\sqrt{49} < \sqrt{50} < \sqrt{64}\), which simplifies to \(7 < \sqrt{50} < 8\).

Answer:

7 and 8