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.¯¯¯¯¯¯84−49142284−2840 ∴ x=√51.84=7.2 Hence, the required number is 7.2

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