1 votes 1 votes Given $\sqrt{(224)_{r}} = (13)_{r}.$ The value of the radix $r$ is: $10$ $8$ $5$ $6$ Digital Logic nielit2022apr-scientistb + – soujanyareddy13 asked Apr 12, 2022 • recategorized Apr 10, 2023 by Devwritt soujanyareddy13 607 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 3 votes 3 votes Answer: C $\sqrt{(224)}_r = (13)_r$ $\implies \sqrt{2r^2 + 2r+4} = r+3$ Squaring both side $\implies 2r^2+2r+4 = r^2 + 6r + 9$ $\implies r^2 – 4r – 5 = 0$ $\implies (r+1)(r-5) = 0$ radix can’t be negative, therefore $r=5$ Shoto answered Apr 15, 2022 • selected Apr 15, 2022 by Arjun Shoto comment Share Follow See all 0 reply Please log in or register to add a comment.