Example Question - square root of 78

Finding Consecutive Whole Numbers of Square Root

The image shows an inequality with a square root: \( < \sqrt{78} < \). We need to find two consecutive whole numbers between which \(\sqrt{78}\) is located. First, let's find the whole number square roots closest to 78: - \(8^2 = 64\) - \(9^2 = 81\) Since 64 is less than 78 and 81 is greater than 78, we know that \(8 < \sqrt{78} < 9\). Therefore, the two blanks should be filled with the numbers 8 and 9 to show this inequality correctly: \(8 < \sqrt{78} < 9\).