Question

Find the least number which must be subtracted from 6203 to obtain a perfect square also find square root of the number by long division method


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Answer 1

Answer:

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Answer 2

AnswEr :

78.

$\bf{\red{\underline{\underline{\bf{Given\::}}}}}$

The subtracted from 6203 to obtain a perfect square.

$\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}$

The square root of the number by long division method and also the least number.

$\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}$

$\begin{array}{r|cccc} & 78\\ \cline{2-2} 7 & 6203\\+7&-49 & & \\ \cline{2-2} 148& 1303 \\ & 1184 \\ \cline{2-5} \cline{2-2}& *119&\end{array}$

We have get remainder = 119.

Then;

119 must be subtracted to get a perfect square.

$\leadsto\sf{6203-119}\\\\\leadsto\sf{\red{6084}}$

This is perfect square root = √6084 = 78.