Question

Ma caranya yaaa...

(√75 - √27) / 2√18 adalah.....
a. 1/2
b. 1/3
c. 1/2√6
d. 1/3√6
e. 1/6√6

Answer 1

(√75 - √27) / 2√18 = ( 5√3 - 3√3) / 6√2
   = 2√3 / 6√2
   = √3 / 3√2  x 3√2 / 3√2
   = 3√6 / 18
   = √6 / 6

Answer 2

(√75 - √27) / 2√18
= (√(25x3) - √(9x3) / 2√(9x2)
= (5√3 - 3√3) / 2.3√2
= (5-3)√3 / 6√2
= 2√3 / 6√2
= √3 / 3√2
Rasionalkan.
= √3 / 3√2 x √2 / √2
= √(3x2) / 3√(2x2)
= √6 / 3.2
= √6 / 6
= 1/6 √6 [E]