Which statement is correct when comparing \(\sqrt{50}\) and \(\sqrt{63}\) in a square root spiral?

Correct answer: Both lie between 7 and 8.

Since \(7^2=49\) and \(8^2=64\), we have \(49<50<64\) and \(49<63<64\). Hence, \(7<\sqrt{50}<8\) and \(7<\sqrt{63}<8\). Therefore, both points lie between 7 and 8 on the square root spiral. Option A is incorrect because \(50>49=7^2\), so \(\sqrt{50}\) cannot lie between 6 and 7. Exam tip: To locate a square root, compare the number with consecutive perfect squares.