Math, asked by yamini22022006, 9 months ago

16. Find the smallest number by which 252 must be
multiplied to get a perfect square. Also, find the
square root of the perfect square so obtained.
plz add a photo of answer also for clarity plz plz​

Answers

Answered by vaibhav733839
1

Answer:

The number 252 will be multiplied by 7 to get a perfect square=1764.

The square root of 1764 is 42

Answered by StarrySoul
1

\huge\underline\bold\orange{Answer:}

It is clear from the attachment that

252 = 2 × 2 × 3 × 3 × 7

We can see that the number 7 doesn't form a pair.

We need one more 7 so that It forms a pair

So,

We have to multiply 7 to 252 for a perfect square

252 × 7 = 1764

Now Square root of obtained number:

 \sqrt{1764}  =  \sqrt{42 \times 42}

 \sqrt{1764}  = 42

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