Find the smallest number by which 2400is to be multiplied to get a perfect square and also the sqaure root of the resulting number
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aim : to find the smallest number by whiich 2400is to be multiplied to get a perfect square and also the sqaure root of the resulting number
firstly prime factorisation of 2400
2400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5
this can be written as
2400 = 2² * 2² *2 * 3*5²
we see that 3 and 2 are not in pair
= 3*3
=6
∴ 6 is the the smallest number by which 2400is to be multiplied to get a perfect square
2400 *6 = 14400
√14400 = 120
aim : to find the smallest number by whiich 2400is to be multiplied to get a perfect square and also the sqaure root of the resulting number
firstly prime factorisation of 2400
2400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5
this can be written as
2400 = 2² * 2² *2 * 3*5²
we see that 3 and 2 are not in pair
= 3*3
=6
∴ 6 is the the smallest number by which 2400is to be multiplied to get a perfect square
2400 *6 = 14400
√14400 = 120
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