find smallest number by which 2400 is to be multiplied to get a perfect square and also find square root of the resulting number
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2400÷2=1200÷2=600÷2=300÷2=150÷2=75÷3=25÷5=5
Therefore
2400= 2×2×2×2×2×3×5×5
So 2×3=6 is the smallest multiplied to become a perfect square
2400×6= 14400
The square root of 14400is 120
Therefore
2400= 2×2×2×2×2×3×5×5
So 2×3=6 is the smallest multiplied to become a perfect square
2400×6= 14400
The square root of 14400is 120
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