simplification | square root of algebraic question | maths for competitive exams

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√[25/(5-√24)]
=√25/√(5-√24)
=5/√[(√3)²-2√3√2+(√2)²]
=5/(√3-√2)
=5(√3+√2)/[(√3-√2)(√3+√2)]
=5(√3+√2)