Between which two consecutive integers is the value of square root of 170

Answer 1

To find between which two consecutive integers the square root of 170 lies, we can calculate the square roots of some nearby perfect squares.

We know:

• \(13^2 = 169\)
• \(14^2 = 196\)

Since \(169 < 170 < 196\), it follows that:

\[ 13 < \sqrt{170} < 14 \]

Therefore, the square root of 170 lies between the two consecutive integers 13 and 14.