Question

d) Find the square root by 7744 by prime factorization method.​

Answer 1

Answer:

The numbers that we multiply are factors of the product. Hence, a factor can be defined as a number which completely divides a number without leaving any remainder. For example, factors of 12 are 1, 2, 3, 4, 6 and 12.

Using the prime factorization method, we can express 7744 as:

7744=2×2×2×2×2×2×11×11

7744=26×112…(1)

Now, taking the square root of equation (1), we get

√7744 = √26×112

√7744 = 22/6 × 11 2/2

√7744 = 2 square root 3 × 11

√7744 = 8×11

√7744 = 88

 

Step-by-step explanation: Hence the square root of 7744 is 88 by using the prime factorization method.