Question

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 1

Answer:

prime factorisation of 2400=2×2×2×2×3×2×5×5

all no. has pair 2×2 2×2 5×5

instead of 2×3

so if we mulyiply 2×3=6with 2400

the no. will a perfect square.

Step-by-step explanation:

2400×6= 14400

the square root of 14400= 120

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Answer 2

Answer:

6

Step-by-step explanation:

prime factorisation of 2400 is

2x2x2x2x2x3x5x5

here (2x2)x(2x2)x(5x5)x2x3

so smallest no. should we should multiply is 2x3=6 so the no.is 2400x6=14400

and root of it is √14400=120