Question

By what number should 2880 be multiplied to get a perfect square. Also find the number whose square is the new number.

Answer 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