Question

Write the given set in Roster form and also in Set-Builder Form:

(e) Set of all two-digit number that are perfect ​squares as well.

Answer 1

Step: Writing the given set in Roster form and also in Set-Builder Form.

We know that $4^2=16$ is the first two-digit number which is a perfect square therefore,

$5^2=25,$
$6^2=36,$
$7^2=49,$
$8^2=64,$
$9^2=81,$

are the remaing two-digit perfect squares.
Hence, the required Roster form is :
$\{16,25,36,49,81\}$ and
The set builder form is:
$\left\{\text{x : x is a two digit number that is a perfect square as well}\right\}$