Guys please put the correct answer for the 3 questions please put the answer fast
Answers
Answer:- 1. Prime factorization of 4851
4851 = 3×3×7×7×11
By grouping the prime factors
= (3×3) × (7×7) × 11
11 is left out
Therefore, the smallest number by which 4851 must be multiplied so that the product becomes a perfect square is 11
2. Prime factorization of 28812
28812 = 2×2×3×7×7×7×7
By grouping the prime factors
= (2×2) × 3 × (7×7) × (7×7)
3 is left out
Therefore, the smallest number by which 28812 must be divided so that the quotient becomes a perfect square is 3
3. Prime factorization of 1152
1152 = 2×2×2×2×2×2×2×3×3
By grouping the prime factors
= (2×2) × (2×2) × (2×2) × (3×3) × 2
Therefore, the smallest number by which 1152 must be divided so that the quotient becomes a perfect square is 2.
The number after division, 1152/2 = 576
Prime factors for 576 = 2×2×2×2×2×2×3×3
By grouping the prime factors
= (2×2) × (2×2) × (2×2) × (3×3)
= (2×2×2×3) × (2×2×2×3)
= 242
Therefore, the resulting number is square of 24.