find the smallest number by which 7436 must be multiplied to get a perfect square also find the square root of the perfect square so obtained
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Hey mate!
answer:
• To find the the smallest number which is mutplied by 7436 to get a perfect sq.
• We have to do it's LCM
2 | 7436
2 | 3718
11 | 1859
13 | 169
13 | 13
| 1
So, the LCM = 2 × 2 × 11 × 13 × 13
As, you can see that 11 is not in the pair.
So, 11 is smallest no. which when mutplied by 7436 to get a perfect sq.
Now, Square root is :
= 7436 × 11
= 81796
\begin{lgathered}= \sqrt[]{81796} \\ = 286 \: ans.\end{lgathered}
=
81796
=286ans.
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