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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 $25$.
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