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Multiply. Write your answer in simplest form. \newline5(7+2)\sqrt{5}(7 + \sqrt{2})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(7+2)\sqrt{5}(7 + \sqrt{2})
  1. Distribute 5\sqrt{5}: We need to distribute 5\sqrt{5} across the terms inside the parentheses.5(7+2)=5×7+5×2\sqrt{5}(7 + \sqrt{2}) = \sqrt{5} \times 7 + \sqrt{5} \times \sqrt{2}
  2. Multiply by 77: Now we multiply 5\sqrt{5} by 77.5×7=75\sqrt{5} \times 7 = 7\sqrt{5}
  3. Multiply by 2\sqrt{2}: Next, we multiply 5\sqrt{5} by 2\sqrt{2}.5×2=5×2=10\sqrt{5} \times \sqrt{2} = \sqrt{5 \times 2} = \sqrt{10}
  4. Combine products: Combine the two products to get the final expression in simplest form. 75+107\sqrt{5} + \sqrt{10}

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