Question

Find the square root by prime factorisation method
A) 7744
B) 9604​

Answer 1

Given :-

A) 7744

B) 9604

To find :-

square root by prime factorisation

Solution :-

A)  the prime factriaction of 7744 is

7744 = 2*2*2*2*2*2*11*11

by pairing prime factorisation

 2         ║     7744      

 2         ║     3872      

 2         ║       1936    

  2        ║      968      

  2        ║      484      

  2        ║      242        

  11        ║      121          

             ║      11            

therefore :-

prime fractision and square rrot of 7744 i8s:-

$\sqrt{7744} 2*2*2*11 = 88$

so our ans is 88

B) the prime fractision of 9604 is

9604 = 2*2*7*7*7*7

so , by prime fractriosation method

prime fractirastion of 9604 is

   2       ║     9604        

   2       ║     4802        

   7       ║      2401        

   7       ║       343          

   7       ║       49            

            ║       7                

therefore :-

prime fractriosation and square root of 9604 is :-

$\sqrt{9603} = 2*7*7 = 98$

so our ans is 98

so the ans of A) = 88

and the ans of B) = 98

thank you

Answer 2

Answer:

Step-by-step explanation:

your ans is 88 and 96