Question

rationalizati numitorul raportului $\frac{4}{\sqrt[4]{13}-\sqrt[4]{9} }$
va rog urgent

Answer 1

Răspuns:

Formula

a⁴-b⁴=(a²-b²)(a²+b²)=(a-b)(a+b)(a²+b²)

a=⁴√13    b=⁴√9

AMplifici fractia cu (⁴√13+4√9)(4√13²+4√9) si obtii

[4(⁴√13+⁴√9)(4√13²+4√9²)/(4√13-4√9)(4√13+4√9)(4√13²+4√9)=

4(⁴√13+⁴√9)(4√13²+4√9²)/(4√13²-4√9²)(4√13²+4√9²)=

4(⁴√13+⁴√9)(⁴√13²+⁴√9²)/(⁴√13⁴-⁴√9⁴)=

4(⁴√13+⁴√9)(⁴√13²+⁴√9²)(13-9)=

4(⁴√13+⁴√9)(⁴√13²+⁴√(3²)²)/4

Simplifici prin  4

(⁴√13+⁴√9)(⁴√13²+⁴√3⁴)=

(⁴√13+⁴√9)(⁴√13²+3)

Explicație pas cu pas: