Answer:
[tex]3 < \sqrt{14} < 4[/tex]
[tex]8 < \sqrt{67} < 9[/tex]
Step-by-step explanation:
To estimate the square root of 14, we will look for numbers that have squared values nearest to the number 14.
We can think of 9 (square of 3) and 16 (square of 4) as the two nearest possible values to 14 so we can write it as:
[tex]\sqrt{9} < \sqrt{14} < \sqrt{16}[/tex]
[tex]3 < \sqrt{14} < 4[/tex]
Similarly, tp estimate the square root of 67, we can think of 64 (square of 8) and 81 (square of 9) to be the nearest values to 67.
[tex]\sqrt{64} < \sqrt{67} < \sqrt{81}[/tex]
[tex]8 < \sqrt{67} < 9[/tex]
