By what number should 2880 be multiplied to get a perfect square. Also find the number whose square is the new number.
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1
Answer:
5 , 120
Step-by-step explanation:
2880
/ \
2 1440
/ \
2 720
/ \
2 360
/ \
2 180
/ \
2 90
/ \
2 45
/ \
3 15
/ \
3 5
/ \
5 1
ie, 2880 = 2^6 * 3² * 5 = (2³)² * 3² * 5
the product 5 has got no pair
=> 5 is the least no. that can be multiplied with 2880 to get a perfect square.
also
the square root of the number will be √((2³)² * 3² * 5²)
= (2³) * 3 * 5 = 8*15 = 120
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