Question

find the smallest number by which 19200 must be divided so that the quotient is a perfect square also find the square root of the cause of thanks​

Answer 1

Answer:

The least number which should be divided by 19200.

Step-by-step explanation:

19200 = (5 × 5) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × 3

So, the prime factorization 3 does not have a pair so divide it.

19200/3 =  (5 × 5) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × 3/3

6400 = (5 × 5) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

6400 = 5 × 2 × 2 × 2 × 2

6400 = 80

√6400 = 80

∴The least number which should be divided by 19200.

                HOPE IT HELPS U!

           MARK AS BRAINLIEST!

Answer 2

Step-by-step explanation:

19200=2*2*2*2*2*2*2*2*3*5*5

3 is unpaired so ,

required number is 3