Question

30:efecruati calculele
c:√54×[√96-√27(√98-√18
d: √216×[√726-√32×(√108-√48) ]

Answer 1

Răspuns

Explicație pas cu pas:

c)

√54 × [ √96 - √27 ( √98 - √18 ) ] = - 144

= 3√6 × [ 4√6 - 3√3 ( 7√2 - 3√2 ) ] =

= 3√6 × ( 4√6 - 3√3 × 4√2 ) =

= 3√6 × ( 4√6 - 12√6 ) =

= 3√6 × ( - 8√6 ) =

= - 24√36 =

= - 24 × 6 =

= - 144

__________________

d)

√216 × [ √726 - √32 × ( √108 - √48 ) ] = 108

= 6√6 × [ 11√6 - 4√2 × ( 6√3 - 4√3 ) ] =

= 6√6 × ( 11√6 - 4√2 × 2√3 ) =

= 6√6 × ( 11√6 - 8√6 ) =

= 6√6 × 3√6 =

= 18√36 =

= 18 × 6 =

= 108  

Answer 2

Răspuns

Explicație pas cu pas :


c)

√54 × [ √96 - √27 ( √98 - √28 ) ]

= 3√6 × [ 4√6 - 3√3 ( 7√2 - 3√2 ) ]

= 3√6 × ( 4√6 - 3√3 × 4 √2 )

= 3√6 × ( 4√6 - 12√6 )

= 3√6 × ( -8√6 )

= - 24√36

= - 24 × 6

= - 144

_____________________________

d)

√216 × [ √726 - √32 × ( √108 - √48 ) ]

= 6√6 × [ 11√6 - 4√2 × ( 6√3 - 4√3 ) ]

= 6√6 × ( 11√6 - 4√2 × 2√3 )

= 6√6 × ( 11√6 - 8√6 )

= 6√6 × 3√6

= 18√36

= 18 × 6

= 108

_____________________________


# 9_o OchiDeVultur