Question

Tolong nomor 7 dan 8 aja ya.. dan pakai caranya karena besok dikumpulin..
terima kasih...

Answer 1

7) (√45 + √18) / √(7 + 2√10)
= (√9√5 + √9√2) / (√((5 + 2) + 2√(5.2))
= (3√5 + 3√2) / (√5 + √2)
= 3(√5 + √2) / (√5 + √2)
= 3

8) (√6 + √2) / √(2 + √3)
= (√2√3 + √2) / √(2 + √(4. 3/4))
= √2(√3 + 1) / √(2 + 2√(3/4))
= √2(√3 + 1) / √((3/2 + 1/2) + 2√(3/2 . 1/2))
= √2(√3 + 1) / (√(3/2) + √(1/2))
= √2(√3 + 1) / (√3/√2 + 1/√2)
= √2(√3 + 1) / (√3 + 1)/√2
= √2 / (1/√2)
= √2 . √2
= 2

Rumus : √((a + b) + 2√ab) = √a + √b