Question

Which of the following number are not perfect squares?
2500 Please do factor and solve it.​

Answer 1

Answer:

i) 484 The prime factors for 484 484 = 2×2×11×11 By grouping the prime factors in equal pairs we get, = (2×2) × (11×11) By observation, none of the prime factors are left out. Hence, 484 is a perfect square. (ii) 625 The prime factors for 625 625 = 5×5×5×5 By grouping the prime factors in equal pairs we get, = (5×5) × (5×5) By observation, none of the prime factors are left out. Hence, 625 is a perfect square. (iii) 576 The prime factors for 576 576 = 2×2×2×2×2×2×3×3 By grouping the prime factors in equal pairs we get, = (2×2) × (2×2) × (2×2) × (3×3) By observation, none of the prime factors are left out. Hence, 576 is a perfect square. (iv) 941 The prime factors for 941 941 = 941 × 1 We know that 941 itself is a prime factor. Hence, 941 is not a perfect square. (v) 961 The prime factors for 961 961 = 31×31 By grouping the prime factors in equal pairs we get, = (31×31) By observation, none of the prime factors are left out. Hence, 961 is a perfect square. (vi) 2500 The prime factors for 2500 2500 = 2×2×5×5×5×5 By grouping the prime factors in equal pairs we get, = (2×2) × (5×5) × (5×5) By observation, none of the prime factors are left out. Hence, 2500 is a perfect squarRead more on Sarthaks.com - https://www.sarthaks.com/614198/which-of-the-following-numbers-are-perfect-squares-484-625-576-2500?show=614210#a614210