Simplify: \(\sqrt[6]{64} + \sqrt[4]{50625} + \sqrt[3]{21952} + \sqrt{4489}\)

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OSSC Excise SI (Mains) Official Paper (Held On: 17 Oct, 2024 Shift 1)
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  1. 18
  2. 112
  3. 198
  4. 102

Answer (Detailed Solution Below)

Option 2 : 112

Detailed Solution

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Given:

\(\sqrt[6]{64} + \sqrt[4]{50625} + \sqrt[3]{21952} + \sqrt{4489}\)

 

Calculation:

\(\sqrt[6]{64} + \sqrt[4]{50625} + \sqrt[3]{21952} + \sqrt{4489}\)

⇒ \(\sqrt[6]{2^6} + \sqrt[4]{15^4} + \sqrt[3]{28^3} + \sqrt{67^2} \)

⇒ 2 + 15 + 28 + 67 = 112

Option 2 is the correct answer.

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