Question

1. Using the prime factorisation method find whic
of the following are perfect square?
(a) 51984 (b) 343 (c) 140250
(d) 6561 (e) 2592​

Answer 1

Answer:

1. perfect square
2. not perfect square
3. not perfect square
4. perfect square
5. not perfect square

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

(a) 51984

Factors of 51984 = 2 × 2 × 2 × 2 × 3 × 3 × 19 × 19

∴  228

Thus, 51984 is a perfect square.

(b) 343

Factors of 343 = 7 × 7 × 7

∴7√7

Thus, 343 is not a perfect square.

(c) 140250

Factors of 140250 = 2 × 3 × 5 × 5 × 5 × 11 × 17

∴ 374.49

Thus, 140250 is not a perfect square.

(d) 6561

Factors of 6561 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3

∴81

Thus, 6561 is a perfect square.

(e) 2592

Factors of 2592 = 2 × 2 × 2 × 2 × 2 × 3 × 3  × 3 × 3

∴36√2

Thus, 2592 is not a perfect square.