Question

Find the smallest number by which following number must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained. a) 1008 b) 1280 c) 1875​

Answer 1

Answer:

Step-by-step explanation:

a) 1008

√1008 = √(2×2×2×2×3×3×7)

√1008 =  √(2*2*3*7)

So, 7 is left alone therefore, 7 is the smallest number to be multiplied by 1008 to make it a perfect square.

b)1280

√1280 = √(2*2*2*2*2*2*2*2*5)

√1280 =√(2*2*2*2*7)

So, 7 is left alone therefore, 7 is the smallest number to be multiplied by 1280 to make it a perfect square.

c) 1875

   √1875 = √(5*5*5*5*3*)

   √1875 = √(5*5*3)

  So, 3 is left alone therefore, 3 is the smallest number to be multiplied by 1875 to make it a perfect square.

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Answer 2

Step-by-step explanation:

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