1.

The sum of the digits of a two-digit number is 12 and the difference between the two digits of the number is 4. What is the square root of the product of the two digits of the two-digit number?1. 4√22. 6√23. 44. 8

Answer» Correct Answer - Option 1 : 4√2

Given:

The sum of the digits of a two-digit number = 12

The difference between the two digits of the number = 4

Calculations:

Let the two digits of the number be x and y respectively

⇒ x + y = 12      ----(i)

⇒ x – y = 4      ----(ii)

Adding (i) and (ii),

⇒ 2x = 16      

⇒ x = 8

Substituting the value of x in (i),

⇒ 8 + y = 12 

⇒ y = 4

The square root of the product of two digits = √(xy)

⇒ √(8 × 4)

⇒ √32

⇒ 4√2

∴ The square root of the product of the two digits of the number is 4√2    


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