Question

Find the smallest number by which 9600 must be divided so that the quotient is a perfect square. find the square root of the quotient.​

Answer 1

Answer:

We have 9408=    

2×2

​

×  

2×2

​

×  

2×2

​

×3×  

7×7

​

 

If we divide 9408 by the factor 3 then  

9408÷3=3136=  

2×2

​

×  

2×2

​

×  

2×2

​

×  

7×7

​

 which is a perfect square (because 3136=(56)  

2

)

And    

3136

​

=2×2×2×7=56

Explanation:

Answer 2

Answer:

when 9600 is divided by 6 then the answer is a perfect square

9600/6 = 1600

and 1600 is a perfect square of 40

40² =1600