Penyelesaian:
a.)√18/√2
=√18/2
=√9
=3
----------------------------------
b.)6/√8
=6/√8×√8/√8
=6√8/8
=¾√8
----------------------------------
c.)√12/4√2
=√12/4√2×4√2/4√2
=4√24/16×2
=4√4×6/32
=8√6/32
=8/32 √6
=¼√6
----------------------------------
d.)
√24/45×√9/2
=√216/90
=√36×6/9×10
=6√6/3√10
=2 √6/10
----------------------------------
e.)√0,000049
=√(4,9×10^-6)
=7×10^-3
=0,007
----------------------------------
f.)√0,00000256
=√(2,56×10^-6)
=1,6×10^-3
=0,0016
[tex]\boxed{ \colorbox{black}{ \sf{ \color{lightgreen}{ answered\:by\:Duone}}}}[/tex]
Materi : Bentuk Akar dan Pangkat
Bagian A
√18 ÷ √2 = √(18/2) = √9 = 3
Bagian B
6/√8
= 6(√8)/(√8)²
= 6(√8)/8
= ¾( √8 )
= ¾( 2√2 )
Bagian C
√12/4√2
= 4√2( √12 )/( 4√2 )²
= 4( √24 )/( 16[2] )
= 4( 2√6 )/( 32 )
= 8( √6 )/32
= ¼( √6 )
Bagian D
√24/√45 × √9/√2
= √(24×9)/√(45×2)
= √(4×9×6)/√(9×10)
= ( 2 × 3 )√6/( 3 )√10
= 6√6/3√10
= ( 6/3 )√6/√10
\_______________/
= 2√6( √10 )/( √10 )²
= 2( √60 )/100
= ( 1/50 )√(4×15)
= ( 1/25 )√15
Bagian E
√0,000049
= √( 4,9 × 10-⁶ )
= 0,7 × 10-³
= 0,0007
Bagian F
√0.00000256
= √( 2,56 × 10-⁶ )
= 1,6 × 10-³
= 0,16 × 10-²
= 0,0016
Semoga bisa membantu
[tex] \boxed{ \colorbox{navy}{ \sf{ \color{lightblue}{ Answer\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
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