Mathematics 2019 JAMB Past Questions - Question 34: Simplify √(160r² + √(71r ^4 + √(100r^8)

Correct Answer

C

Explanation

To simplify the given expression, we can start by breaking it down step by step.We have:\[ \sqrt{160r^2 + \sqrt{71r^4 + \sqrt{100r^8}}} \]Let's simplify the innermost expression first:\[ \sqrt{100r^8} = 10r^4 \]Now we have:\[ \sqrt{160r^2 + \sqrt{71r^4 + 10r^4}} \]Simplifying the next inner expression:\[ \sqrt{71r^4 + 10r^4} = \sqrt{81r^4} = 9r^2 \]Now we have:\[ \sqrt{160r^2 + 9r^2} \]Simplifying further:\[ \sqrt{169r^2} = 13r \]So, the simplified form of the given expression is \( 13r \).