Introduction to Square Numbers

Express $196$ using the odd number sequence.

The irrational number between $2$ and $2.5$ is 

The decimal expansion of an _____ number is non-terminating and non-repeating.

The decimal representation of the rational number is

What is an irrational number? Give an example.

Find the square by the diagonal method and also the ones digit in the square of $324$.

Verify the statement that when a perfect square number is divided by $8$, the remainder is either $0 \mathrm{or} 1 \mathrm{or} 4$, but never be equal to $2, 3, 5, 6 \mathrm{or} 7$.

Verify the statement that the remainder of a perfect square, when divided by $4$, is either $0 \mathrm{or} 1$ but never $2 \mathrm{and} 3$.

Verify the following statement:

Verify the following statement:

Verify the following statement:

Find the square by diagonal method and also the ones digit in the square of $520$.

Find the square by diagonal method and also the ones digit in the square of $146$.

Find the square by the diagonal method and also the ones digit in the square of $79$.

Find the square by diagonal method and also the ones digit in the square of $42$.

Find the square by diagonal method and also the ones digit in the square of $27$.

Find the square by diagonal method and also the ones digit in the square of $11$.

Which of the points listed below describe a square?

i. All the sides are equal and opposite sides are parallel.

ii. Opposite sides are parallel and not equal to each other.

iii. All the interior angles are right angles.

iv. Only one pair of opposite sides is parallel.

The measure of the sides can be found given the measure of a diagonal of the square.

The opposite sides of a square intersect each other at a point. Is this statement true or false?