Question 20 of 29intermediate🔧 ApplyNumerical3 marks
Find whether 1156 and 2800 are perfect squares using prime factorisation.
(i)
Is 1156 a perfect square?
Answer
Yes, 1156 = 34²
(ii)
Is 2800 a perfect square?
Answer
No, 2800 is not a perfect square because factor 7 has odd exponent.
Explanation
(i) 1156 = 2² × 17² = ()² = 34² (ii) 2800 = 2⁴ × 5² × 7¹, and 7 has odd exponent.