Simplify sqrt 160r 2 sqrt 71r 4 sqrt 100r 2 - JAMB Mathematics 1990 Question
Simplify (\sqrt{160r^2}) + (\sqrt{71r^4}) + (\sqrt{100r^2})
A
9r2
B
12\(\sqrt{3r}\)
C
13r
D
\(\sqrt{13r}\)
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Correct Option: C
(\sqrt{160r^2 + 71r^4 + 100r^8})
Simplifying from the innermost radical and progressing outwards we have the given expression
(\sqrt{160r^2 + 71r^4 + 100r^8}) = (\sqrt{160r^2 + 81r^4})
(\sqrt{160r^2 + 9r^2}) = (\sqrt{169r^2})
= 13r
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