find the smallest number by which 2400 is to be multiplied to get a perfect square and also find the square root of the resulting number answer is 6120
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Answered by
19
If we factorize 2400, we get-
2400=2*2*2*2*2*5*5*3
Since one 2 and one 3 remains unpaired so 2400 should be multiplied by 6
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2400=2*2*2*2*2*5*5*3
Since one 2 and one 3 remains unpaired so 2400 should be multiplied by 6
PLEASE MARK AS BRAINLIEST IF HELPFUL!!!
Answered by
17
2400=2^5 × 3^1 ×5^2
To make it a perfect sqaure..all its factors must be squares.
Hence..it must be multiplied by 2×3. i.e 6.
2400×6= 14400
√14400 = 120
To make it a perfect sqaure..all its factors must be squares.
Hence..it must be multiplied by 2×3. i.e 6.
2400×6= 14400
√14400 = 120
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