Find the square root of the following by prime factorization:
(i) 576
(ii) 784
(iii) 1764
Answers
Answered by
0
mark as brainlist please...
Attachments:
Answered by
7
Answer:
(i) 576 = 24
(ii) 784 = 28
(iii) 1764 = 42
Step-by-step explanation:
(i) 576 : √576 = 2 × 2 × 2 × 2 ×2 × 2 × 3 × 3
√576 = 2× 2× 2 ×3
√576= 24
Hence, the square root of 576 is 24.
(ii) 784 : √784= 2 × 2 × 2 × 2 × 7 × 7
√784 = 2 × 2 × 7
√784 = 28
The correct answer is 28.
(iii) 1764 : √1764 = 2 × 2 × 3 × 3 × 7 × 7
√ 1764 = 2× 3× 7
√1764 = 42
Therefore, 1764 = 42.
Similar questions