Question
Download Solution PDF\(\text{Simplify:} \quad \sqrt[6]{4096} + \sqrt[4]{50625} + \sqrt[3]{21952} + \sqrt{3364} \)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Simplify: √6(4096) + √4(50625) + ∛(21952) + √(3364)
Formula used:
For nth root: √n(x) = x1/n
Calculation:
Step 1: Evaluate each term
⇒ √6(4096) = 40961/6 = 4
⇒ √4(50625) = 506251/4 = 15
⇒ ∛(21952) = 219521/3 = 28
⇒ √(3364) = 33641/2 = 58
Step 2: Add the results
⇒ 4 + 15 + 28 + 58 = 105
∴ The correct answer is option (1).
Last updated on Jul 19, 2025
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