R. D. Sharma Solutions for Chapter: Squares and Square Roots, Exercise 2: EXERCISE

Observe the following pattern

$\begin{array}{l}{2}^2-1^2=2+1\end{array}$

$\begin{array}{l}{3}^2-2^2=3+2\end{array}$

$4^2-3^2=4+3$

$5^2-4^2=5+4$

and find the value of

${100}^2-{99}^2$

Observe the following pattern:

$2^2-1^2=2+1$

$3^2-2^2=3+2$

$4^2-3^2=4+3$

$5^2-4^2=5+4$

Then find the value of ${111}^2-{109}^2$.

Observe the following pattern and find the value of ${99}^2-{96}^2$.

$\begin{array}{l}{2}^2-1^2=2+1\end{array}$

$\begin{array}{l}{3}^2-2^2=3+2\end{array}$

$4^2-3^2=4+3$

$5^2-4^2=5+4$

The difference of two square numbers is a square number.

The product of two square numbers is a square number.

No square number is negative.

There is no square number between $50$ and $60$.

There are fourteen square number up to $200$.