Sederhanakan bentuk akar berikut. (5√8 + 7√2)√2PENJELASAN DAN LANGKAH-LANGKAH..

By Admin ReiPosted on December 12, 2022

Sederhanakan bentuk akar berikut. (5√8 + 7√2)√2PENJELASAN DAN LANGKAH-LANGKAH..

Sederhanakan bentuk akar berikut. (5√8 + 7√2)√2PENJELASAN DAN LANGKAH-LANGKAH..

Penjelasan dengan langkah-langkah:

$largecolor{aqua}{text{Sub soal bagian A}}$

$tt 6sqrt{54} + 2sqrt{96} - 12sqrt{6}$

$= tt 6sqrt{9 times 6} + 2sqrt{16 times 6} - 12sqrt{6}$

$= tt 6sqrt{3^2 times 6} + 2sqrt{4^2 times 6} - 12sqrt{6}$

$= tt 6sqrt{3^2}sqrt{6} + 2sqrt{4^2}sqrt{6} - 12sqrt{6}$

$= tt 6(3)sqrt{6} + 2(4)sqrt{6} - 12sqrt{6}$

$= tt 18sqrt{6} + 8sqrt{6} - 12sqrt{6}$

$= tt (18 + 8 - 12)sqrt{6}$

$= boxed{tt 14sqrt{6}}$

______________________

$largecolor{aqua}{text{Sub soal bagian B}}$

$tt (5sqrt{8} + 7sqrt{2})sqrt{2}$

$= tt (5sqrt{2^3} + 7sqrt{2})sqrt{2}$

$= tt (5sqrt{2^2 times 2^1} + 7sqrt{2})sqrt{2}$

$= tt (5sqrt{2^2}sqrt{2} + 7sqrt{2})sqrt{2}$

$= tt (5(2)sqrt{2} + 7sqrt{2})sqrt{2}$

$= tt (10sqrt{2} + 7sqrt{2})sqrt{2}$

$= tt left((10 + 7)sqrt{2}right)sqrt{2}$

$= tt 17sqrt{2}sqrt{2}$

$= tt 17 times 2$

$= boxed{tt 34}$