Using suitable pattern compute the following: $\frac{505^{2}}{10201}$.

Given: The term $\frac{505^2}{10201}$.​

To do: To compute the given term using suitable pattern.

Solution:

Now we have given the term $\frac{505^2}{10201}$​

We know that the square root of $10201$ is $101$.

So we can rewrite the term as:

$=\frac{505^2}{101​^2}$

$=( \frac{505}{101}​)^2$

$=( \frac{101\times5}{101})^2$

Cancelling $101$, we get: $5^2=25$

Thus, the value of the given term is $25$.
 

Updated on: 10-Oct-2022

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