Question

Wyłącz czynnik pzed znak pierwiastka i oblicz:

a) √5 x √8 =

b) 3√2 x 2√8 x √3=

c) 7√2 x 0,1√12 =

d) ³√16 + ³√2 =

e) 2³√24 - 2³√3 =

Answer 1

a)

√5 *√8 = √(4*2) *√5 = √4*√2*√5 = 2*√10

b)

3√2 * 2√8 *√3 = 6*√(4*2)*√2*√3 = 6*√4*√2*√2*√3 = 6*2*2√3 = 24√3

c)

7√2* 0,1√12 = 7√2*0,1 *√(4*3) = 0,7√2*√4 *√3 = 0,7*2*√2*√3 = 1,4√6

d)

∛16 *∛2 = ∛(8*2) *∛2 = ∛8 *∛2 *∛2 = 2*∛4

e)

2∛24 - 2∛3 = 2*∛(8*3) - 2∛3 = 2*∛8 *∛3 - 2∛3 = 2*2*∛3 - 2∛3 =

= 4∛3 - 2∛3 = 2∛3

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