Question

Find the square roots of the following by prime factorisation method.
(i) 9604
(ii) 7744

Please give correct answer.​

Answer 1

Answer:

7744 can ve factorised as follows. 2 7744 ,2 3872 ,2 1936 ,2 968 2 484 2 242 11 121 11 11 1 7744 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11 ∴ √7744 = 2 x 2 x 2 x 11 = 88

(II) 9604 can be factorised as follows. 2 9604 2 4802 7 2401 7 343 7 49 7 7 1 9604 = 2 x 2 x 7 x 7 x 7 x 7 ∴ √9604 = 2 x 7 x 7 = 98

Step-by-step explanation:

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