The square root of 26 on a number line 1 to 10

It would be a little to the right of 5. Square root of 26 is 5.1.

You need a rough idea of where the square root of 26 is on the line.

Is it near 1 ?  (1)-squared = 1        much too small
Is it near 2 ?  (2)-squared = 4        still too small
Is it near 3 ?  (3)-squared = 9        still too small, but growing
Is it near 4 ?  (4)-squared = 16      still too small, but going in the right direction
Is it near 5 ?  (5)-squared = 25      !  Almost but not quite.
Is it near 6 ?  (6)-squared = 36      Ah hah !  We went past it.  6 is too big.

5 is just a little tiny bit too small, and 6 is too big.

The square root of 26 must be between 5 and 6 on the number line,
and very close to 5 .