6.

Question

Between what two consecutive integers is ?\sqrt(151)

Answer 1

To find the two consecutive integers between which \(\sqrt{151}\) lies, we can calculate the squares of integers around it.

Calculating the squares of integers:

• \(12^2 = 144\)
• \(13^2 = 169\)

Since \(144 < 151 < 169\), we can infer that: \[ 12 < \sqrt{151} < 13 \]

Thus, \(\sqrt{151}\) lies between the consecutive integers \(12\) and \(13\).