Question

Find the square roots of the following by
prime factorisation method.
(i) 256 (ii) 1024 (iii) 729
(iv) 1156 (v) 3364 (vi) 441​

Answer 1

Answer:

256=2.2.2.2.2.2.2.2

hence √256=2.2.2.2=16

Step-by-step explanation:

thus other can be done

Answer 2

Answer:

1)256 = √2*2*2*2*2*2*2*2 = 2*2*2*2 = 16

2)1024 = √2*2*2*2*2*2*2*2*2*2 = 2*2*2*2*2 = 32

3)729 = √3*3*3*3*3*3 = 3*3*3 = 27

4)1156 = √2*2*17*17 = 2*17 = 34

5)3364 = √2*2*29*29 = 2*29 = 58

6)441 = √3*3*7*7 = 3*7 = 21