Question

find the smallest number by which 252 must be multiplied to get a perfect square. also, find the square root of the the perfect square so obtained​

Answer 1

Answer:

7

Step-by-step explanation:

For finding the perfect square we need to factorize the given number

$252=2\times126\\\\252=2\times2\times63\\\\252=2^2 \times3\times21\\\\252=2^2\times3\times3\times7\\\\252=2^2\times3^2\times7\\\\So\;7\;is\;the\;least\;number\;to\;be\\multiplied\;to\;252\;to\;get\;a\;\\perfect \;square\\\\The\;perfect\;square\;is\;equal\;to\;1764=42^2$

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