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Mathematics

The value of 8+18\sqrt{8} + \sqrt{18}

  1. 26\sqrt{26}
  2. 2(2+3)2(\sqrt{2} + \sqrt{3})
  3. 525\sqrt{2}
  4. 626\sqrt{2}

Rational Irrational Nos

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Answer

8+18\sqrt{8} + \sqrt{18} = 2×2×2+2×3×3\sqrt{2 × 2 × 2} + \sqrt{2 × 3 × 3} = 22+322\sqrt{2} + 3\sqrt{2} = (2+3)2(2 + 3)\sqrt{2} = 525\sqrt{2}

∴ Option 3, is the correct option.

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