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Simplify \(\sqrt{160r^2 + \sqrt{71r^4 + \sqrt{100r...

Simplify 160r2+71r4+100r8

A.

9r2

B.

123r

C.

13r

D.

13r

Correct answer is C

160r2+71r4+100r8

Simplifying from the innermost radical and progressing outwards we have the given expression

160r2+71r4+100r8 = 160r2+71r4+10r4

= 160r2+81r4

160r2+9r2 = 169r2

= 13r