Question

Jakim procentem liczby (√6+2)(3√2-2√3) jest liczba (√150 +2√54-3√24):2√2 ?

√-pierwiastek

Answer 1

(√6+2)(3√2-2√3)-----------100%

 

(√150 +2√54-3√24):2√2----x%

 

x=[(√150 +2√54-3√24):2√2*100]:(√6+2)(3√2-2√3)

 

x=[(√150 +2√54-3√24)*100]:[2√2*(√6+2)(3√2-2√3)]

 

x=[(5√6+6√6-6√6)*100]:[(2√12+4√2)(3√2-2√3)]

x=500√6:(6√24-4√36+12√4-8√6)

x=500√6:(12√6-24+24-8√6)

x=500√6:4√6

x=125%

Answer 2

[√6+2][3√2-2√3]=

3√12-2√18+6√2-4√3=

6√3-6√2+6√2-4√3=

2√3

 

 

[√150+2√54-3√24]:2√2=

[5√6+6√6-6√6]:2√2=

5√6:2√2=

10√3:4=2,5√3

 

2,5√3/2√3=1,25

druga liczba to 125% pierwszej liczby