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Question

A decimal number is multiplied by itself. If the product is 51.84, then the number is ___. (Give answer till one decimal place)


Solution

Let the number be x.
Then, product =x×x=x2
But product = 51.84           [given]
x2=51.84
x=51.84
We use long division method to find the square root of 51.84. For that, we will group 2 numbers from right to left and then proceed with the division.

7.27¯¯¯¯¯¯51.¯¯¯¯¯¯84491422842840
x=51.84=7.2
Hence, the required number is 7.2

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