# Ex.6.1 Q5 Squares and Square Roots Solutions - NCERT Maths Class 8

Go back to 'Ex.6.1'

## Question

Observe the following pattern and supply the missing numbers.

\[\begin{align}{11^2} &= 121\\{101^2} &= 10201\\{10101^2} &= 102030201\\{1010101^2} &= ?\\{?^2} &= 10203040504030201\end{align}\]

## Text Solution

**What is known?**

Pattern

**What is unknown?**

Missing number in the pattern

**Reasoning:**

Start with 1 followed by a zero and go up to as many number as there are number of 1s given, follow the same pattern in reverse order.

**Solution:**

\[\begin{align}{11^2} &= 121\\{101^2} &= 10201\\{10101^2} &= 102030201\\{1010101^2} &= 1020304030201\\{101010101^2} &= 10203040504030201\end{align}\]