Math, asked by Manikverma, 1 year ago

find the smallest number by which 4851 must be multiplied so that product becomes a perfect square.

Answers

Answered by kajal235
8
sorry I think Maine glat kr diya
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itachi41: hi
Answered by Anonymous
7

\mathfrak{Answer:}

= 11 .

\mathfrak{Step-by-Step\;Explanation:}

\bold{To\;find:}

  • The smallest number by which 4851 must be multiplied so that product becomes a perfect square .

Perfect square :

  • It is the square of the natural number.
  • Perfect square ends with 0 , 1 , 4 , 5 , 6 and 9.
  • No perfect square ends with 2 , 3 , 7 or 8.
  • If a number is even , then its square is also even.
  • If a number is odd, then its square is also odd.

\mathbb{SOLUTION}

\begin{array}{r | l}3&4851\\ \cline{2-2}3&1617\\ \cline{2-2}7&539\\ \cline{2-2}7&77\\ \cline{2-2}11&11\\ \cline{2-2}&1\end{array}\\\\\\\tt{So}\\\\\\\bold{4851=\underline{3\times 3}\times\underline{ 7\times 7}\times\underline{ 11\times\boxed{?}}}

  • So if we multiply 4851 by 11 , then new number will be perfect square.

\boxed{\boxed{\bold{Smallest\;No.=11.}}}

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