Properties of Square Numbers

Find the positive square root of the following by the factorization method:

$28\frac{189 }{289 }$

Find the positive square root of the following by the factorization method:

$38\frac{139 }{169 }$

Find the largest five digit perfect square.

Find the least number which when subtracted from $18265$ makes the remainder a perfect square.

Find the value of the following. ${56}^{2 }$

What is the value of ${101}^2-{100}^2$?

What will be the number of zeros in the square of $400$?

Write five numbers which you can decide by looking at their units digit that they are not square numbers.

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:

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?

Priya was drawing a square shaped figure on a drawing board. If she has to complete the square ABCD then how should the line CD be with respect to AB?

One of the windows at Shyam’s house had a square shape. If one of the sides of the window measured 3 feet then length of the other side of the window is _____ feet.

If the sum any two adjacent sides of the square ABCD is 15 cm, then the length of each side of the square is _____ cm.