Question

Find the smallest number by which 5808 should be multiplied so that the product became a perfect square.​

Answer 1

Answer:

when u do prime factorization u get

Explanation:

5808 = 2×2×2×2×3×11×11

after u do this u know that after pairing only 3 is left inside root √

√5808 = √2×2×2×2×3×11×11

√5808 = 2×2×11√3

so after multiplying by 3 it will be the perfect square

5808×3 = 2⁴×11²×3×3

17424= 2⁴×11²×3²

√17424 = √ 2⁴×11²×3²

√17424 = 132

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