If I wanted to estimate √59, the first step would be to find the two between squares that 59 lies
To estimate √59, you would need to find the two perfect squares that 59 lies between. The perfect square that is smaller than 59 is 49 (7^2), and the perfect square that is larger than 59 is 64 (8^2).
the two between squares that 59 lies 64 on the number line. The closest perfect square less than 59 is 49.
Apologies for the confusion, you are correct. The two perfect squares that 59 lies between are 49 (7^2) and 64 (8^2).
