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Mathematics
Simplification
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NTPC Graduate Tier 1 2025 Shift-2 📅 06 Jun, 2025

Simplify:
6√4096 + 4√50625 + 3√21952 + √3364

A
55
B
105
C
24
D
75
Result Summary
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NTPC Graduate Tier 1
2025 • 06 Jun, 2025 • Shift-2
Simplify:
6√4096 + 4√50625 + 3√21952 + √3364
Correct Answer
105
Extracting Higher Roots: Break down the expression by solving each radical individually. Since 4⁶ = 4096, the 6th root of 4096 is 4. Since 15⁴ = 50625, the ......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic Simplification
Pg. No -
💡 Analysis & Explanation
Extracting Higher Roots ▼
Break down the expression by solving each radical individually. Since 4⁶ = 4096, the 6th root of 4096 is 4. Since 15⁴ = 50625, the 4th root of 50625 is 15.
Extracting Lower Roots ▼
For the cube root, 28³ = 21952, so the cube root of 21952 is 28. For the square root, 58² = 3364, so the square root of 3364 is 58.
Final Addition ▼
Substitute these integer values back into the original addition statement: 4 + 15 + 28 + 58.
Conclusion ▼
Calculating the sum yields a final total of 105.
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