Question

Is 10348 a perfect Square? If not, find the smallest number by which 10,348 Should be multiplied to make it a perfect square.​

Answer 1

Answer:

Step-by-step explanation:

Given number is ⇒ 2352

It  

′

 s Factor

2352=2×2×2×2×3×7×7

2352=2  

4

×7  

2

×3

It  

′

 s not perfect square.

So,

The smallest number 3 is

multiplied by 2352 is make

perfect square.

Hence, 3 is the answer.

Answer 2

Step-by-step explanation:

Given: 10,368

To find: Here we have to find the smallest number by which 10,368 should be multiplied to make it a perfect square.

Solution:

The prime factors of 10368 are:

10368 = 2 2 2 2 2 2 2 3 3 3 3

10368 = × 2 (26 34)

Perfect squares have an even number of each prime factor.

We can make a perfect square by multiplying by 2.

Now,

10368 × 2 = 20736

And,

20736 = 1442

So, the smallest number by which 10,368 should be multiplied to make it a perfect square is 2.