Question

Find the square roots of the following numbers by Prime factorization method,
(ii) 784 () 4096 (iv) 7056​

Answer 1

Answer:

square root of 784 by prime factorization is 28

square root of 4096 by prime factorization is 64

square root of 7056 by prime factorization is 84

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Answer 2

Answer:

(ii) 28

(iii) 64

(iv) 84

Step-by-step explanation:

(ii) 784 = (2 × 2 × 7) × (2 × 2 × 7)

= 28 × 28

(iii)4096 = (2 × 2 × 2 × 2 × 2 × 2) × (2 × 2 × 2 × 2 × 2 × 2)

= 64 × 64

(iv)7056 = (2 × 2 × 3 × 7) × (2 × 2 × 3 × 7)

= 84 × 84