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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