Finding the Square of a Number

If square root of $\left(11+\sqrt{112}\right)$ is equal to $a+\sqrt{b}$, $a, b\in N$ then find $b-a$

What is $505\times 505$

Find: ${\left(0.1\right)}^2$

What is the square of $2250$?

Screen size is defined by the distance between two diagonally opposite corners of screen. A manufacturer can make rectangular display screens as per clients' demands. A client purchased a display screen of size $\sqrt{70}$ units from the manufacturer last year. For an upgrade, he wants the same type of screen with larger display. What are the possible dimensions of the screen purchased by the client last year?

Find the square of the following number using the column method and verify the result by finding the square using the prime factorization method of $90$.

Write atleast $10$ Pythagorean triplets.

What is square of $534 ?$

The diagram shows Medha's backyard divided into three sqaure areas. If Medha wants to put a brick wall along the boundary of the total garden area, find the total length of the wall?

The base and height of a right-angled triangle are $5\text{cm} \text{and} 12\text{cm}$ respectively. Find the third side and draw the right-angled triangle.

The base and height of a right-angled triangle are $3\text{cm} \text{and} 4\text{cm}$ respectively. Find the third side and draw the right-angled triangle.

How many natural numbers lie between ${11}^2$ and ${12}^2$?

How many non square numbers lie between ${1000}^2$ and ${1001}^2$?

How many non square numbers lie between ${1000}^2$ and ${1001}^2$?

How many non square numbers lie between ${90}^2$ and ${91}^2$?

How many non square numbers lie between ${100}^2$ and ${101}^2$?

How many natural numbers lie between ${11}^2$ and ${12}^2$?

How many natural numbers lie between $9^2$ and ${10}^2$?

Which of these is the same as $ {5}^{2}+1{2}^{2}$?

Is the triangle with sides given below a right triangle?

$6 \mathrm{cm}, 8 \mathrm{cm}, 7 \mathrm{cm}$