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Simplify the product. 4sqrt5(sqrt6-2sqrt11)

Simplify the product.\newline45(6−211) 4 \sqrt{5}(\sqrt{6}-2 \sqrt{11})

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Full solution

Q. Simplify the product.\newline45(6−211) 4 \sqrt{5}(\sqrt{6}-2 \sqrt{11})
  1. Multiply square roots and numbers: Now, multiply the square roots and numbers separately.\newline4×5×6=45×64 \times \sqrt{5} \times \sqrt{6} = 4\sqrt{5 \times 6}\newline4×5×2×11=85×114 \times \sqrt{5} \times 2 \times \sqrt{11} = 8\sqrt{5 \times 11}
  2. Simplify square roots: Simplify the square roots. 430−8554\sqrt{30} - 8\sqrt{55}
  3. Final answer: There's nothing more to simplify, so that's the final answer.

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