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If p : q : r = 1 : 2 : 4, then $$\sqrt {5{p^2} + {q^2} + {r^2}} $$ is equal to =
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& {\text{p}}:{\text{q}}:{\text{r}} \cr
& 1:2:4 \cr
& x:2x:4x \cr
& \therefore \sqrt {5{p^2} + {q^2} + {r^2}} \cr
& = \sqrt {5{x^2} + 4{x^2} + 16{x^2}} \cr
& = \sqrt {25{x^2}} \cr
& = 5x \cr
& = 5p \cr} $$
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