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    Question

    Find the Value of

    √(-√3+√(3+8√(7+4√3)))? 
    A 4 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 4√3 Correct Answer Incorrect Answer

    Solution

    √(-√3+√(3+8√(7+4√3) ) )   √(-√3+√(3+8√(4+3+2×2×√3) ) )   √(-√3+√(3+8√(2²+(√3)²+2×2×√3) ) )   √(-√3+√(3+8√((2+√3)²)) )   √(-√3+√(3+8(2+√3)))   √(-√3+√(3+16+8√3) )   √(-√3+√(19+8√3) )   √(-√3+√(16+3+2×4×√3) )   √(-√3+√(4²+(√3)²+2×4×√3) )   √(-√3+√((4+√3)²))   √(-√3+4+ √3)   = √4 = 2

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