Question

Tentukan Hasil Operasi Berikut Dalam Bentuk Yang Paling Sederhana !
A . √3 X √27 =
B . √25 X √75 =
C . ( 6√3 - 2√2 ) ( 6√3 + 2√2 ) =
D . ( 3√5 + 4√2 )² =

Answer 1

A. √3 x √9x3 = √3 x 3√3 = 3x3 = 9
B. 5 x  √25x3 = 5x5√3 = 25√3
C. 36x3 - 4 x 2 = 108 - 8 = 100
D. 9x5 +12√10+12√10 + 16x2 = 45 + 24√10 + 32 = 56 + 24√10

Answer 2

A . √3 x √27
= √81
= 9

B . √25 x √75
= 5 x 5√3
= 25√3

C . ( 6√3 - 2√2 ) ( 6√3 + 2√2 )
= 36√9 +12√6 - 12√6 - 4√4
= 36 x 3 - 4 x 4
= 108 - 16
= 92

D . ( 3√5 + 4√2 )²
= ( 3√5 + 4√2 )( 3√5 + 4√2 )
= 9√25 + 12√10 + 12√10 + 16√4
= 9 x 5 + 24√10 + 16 x 2
= 45 + 24√10 + 32
= 77 + 24√10