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simplify (11−7)(11+7)(\sqrt{11}-\sqrt{7})(\sqrt{11}+\sqrt{7})

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Full solution

Q. simplify (11−7)(11+7)(\sqrt{11}-\sqrt{7})(\sqrt{11}+\sqrt{7})
  1. Recognize as difference of squares: Recognize the expression as a difference of squares: (a−b)(a+b)=a2−b2(a-b)(a+b) = a^2 - b^2.
  2. Square first term: Square the first term: (11)2=11(\sqrt{11})^2 = 11.
  3. Square second term: Square the second term: (7)2=7(\sqrt{7})^2 = 7.
  4. Subtract squares: Subtract the squares: 11−7=411 - 7 = 4.

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