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  • Computer Number Systems and Data Representation
  • Given √(224) r = 13r, the value of radix r is
Multiple choice

Given √(224) r = 13r, the value of radix r is

  1. 10

  2. 8

  3. 5

  4. 6

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

sqrt(224 base r) = 13 base r implies 224 base r = (13 base r)^2. (2*r^2 + 2*r + 4) = (r + 3)^2 = r^2 + 6r + 9. Solving r^2 - 4r - 5 = 0 gives (r-5)(r+1)=0. Since r > 0, r=5.

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