Simplify (sqrt{160r^2 + sqrt{71r^4 + sqrt{100r^8}}})
-
A.
9r2 -
B.
12(sqrt{3r}) -
C.
13r -
D.
(sqrt{13r})
Correct Answer: Option C
Explanation
(sqrt{160r^2 + sqrt{71r^4 + sqrt{100r^8}}})
Simplifying from the innermost radical and progressing outwards we have the given expression
(sqrt{160r^2 + sqrt{71r^4 + sqrt{100r^8}}}) = (sqrt{160r^2 + sqrt{71r^4 + 10r^4}})
= (sqrt{160r^2 + sqrt{81r^4}})
(sqrt{160r^2 + 9r^2}) = (sqrt{169r^2})
= 13r