Question

Find the smallest number by which 3956 must be divided to get a perfect square. ​

Answer 1

Answer:

20

Step-by-step explanation:

The Prime Factorisation of 6000 is

6000 = 5 × 5 × 5 × 2 × 2 × 2 × 2 × 3

6000 = 5³×2⁴×3¹

.

Here One 5 and one 3 are not in Pairs.

So 6000 must be divided by (5×3)=15 to obtain a Perfect Square.

I.e. 15 is the smallest no: by which 6000 should be divided as to obtain a Perfect square

Resulting number = 6000/15 =400

400

=

20×20

=20

Answer 2

Answer:

989

Step-by-step explanation:

3956= 2² x 23 x 43

dividing 3956 by 989 (23 x 43) we get a perfect square

3956/989 = 4 which is a perfect square