Question
Find the Value of
√(-√3+√(3+8√(7+4√3)))?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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