Germany | Can you solve this ? | A Nice Math Olympiad Radical Simplification

[@is7728]

Lemme provide you with a simpler approach: √ [25 / (5 - √24) ] = √25 / [√( 5 - √24)] = 5 / {√ [ (√3)^2 - 2 (√2) (√3) + (√2)^2]} = 5 / [√ (√3 - √2)]^2 = 5 / (√3 - √2) = 5 (√3 + √2) / [(√3 - √2) (√3 + √2)] = (5√3 + 5√2) / 1 = 5√3 + 5√2 Done

[@CatherineKloos-r7x]

5-sqrt24 = 5-2sqrt6=5-2*sqrt2*sqrt3=(sqrt3-sqrt2)^2

[@PN-ex8wb]

Maybe it is better to take "5" out of the square root first.

[@cachotrelles4715]

SENSACIONAL EJERCICIO Y EXPLICACIÓN PASO A PASO. GRACIAS 👏👏👏👏

[@learncommunolizer]

Thank you very much!

[@DemewRajapakse]

Answer is 5(√3-√2)

[@AbbasGuclu-jn3po]

5×(sqrt3+sqrt2)

[@эльдар-в4п]

5

[@JohnMayer-ql5fd]

Bro how do you know it is a perfect square?

[@is7728]

@@JohnMayer-ql5fd When u notice a term in √ (a +- √b) form, normally we try to transform it into √ ((c +- √d)^2) to cancel out the square and root signs

[@alexandrabloch1687]

Got it wrong wrong wrong