Simplify-

(√7+√3)/(√27+√63-√28-√48)

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Solution

[√(3) +√(7)]/√(27) + √(63) - √(28) - √(48)
= [√(3) + √(7) ]/ 3√(3) + 3√(7) - 2√(7) - 4√(3)
= [ √(3) + √(7) ]/ √(7) - √(3)
= [√(3) + √(7)]²/ 4
= 3 + 7 + 2√(3)√(7) / 4
= 10 + 2√(21) / 4
= 5 + √(21) / 2

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