Question

Find the square root of each of the following by prime factorisation.
1)√7744
2)√8281
3)√4096
4)√28900​

step by step

Answer 1

1. 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. Hence the square root of 7744 is 88 by using the prime factorization method.

2. Prime factor of 8281 = 7 × 7 × 13 × 13

8281 =7×13

8281 =91

3. 4096= 2 power 2×2 power 2 ×2 power 2×2 power 2×2 power 2×2 power 2

4096 =64

4. If we put all of it together we have the factors 2 x 2 x 5 x 5 x 17 x 17 = 28,900. It can also be written in exponential form as 22 x 52 x 172.

its the answer.....

Answer 2

Ans

1) 88

2) 91

3) 64

4) 170