Question

Find the smallest number by which 6728 should be multiplied to make it a perfect square. Also find the resulting perfect square number and its square root.

Please show the whole process with answer... ​

Answer 1

Answer:

2 is the smallest number

Step-by-step explanation:

$6728 \times 2 = 13456$

Now, it's time to check whether the number is a perfect square or not

$\sqrt{13456}$

$\sqrt{2 \times 2 \times 2 \times 2 \times 29 \times 29}$

$2 \times 2 \times 29$

$\: 116$

Therefore , the smallest number by which 6728 should be multiplied to make it a perfect square is "2".