Question

i) Find the smallest whole number by which 1536 should be multiplied to het a perfect square number.
ii) Also find the square root 0f the number obtained.
If you know the correct answer then only answer my question. Don't give irrelevant answers.​

Answer 1

Answer:

Smallest no. is 6

square root of that no is 96

Step-by-step explanation:

Prime factorization of 1536=

2*2*2*2*2*2*2*2*2*3

here only 2 and 3 are not in pair so we will multiply 2 and 3 to make their pair which will make the number 1536 as a perfect square number

Thus , 2*3=6 is the smallest number which is multiplied to get perfect square number.

Nummber obtained is 1536*6= 9216

Square root of 9216 = 96