diketahui (5√2 + 3)(2√2 - 1) = a + b√2. Nilai dari a + b adalah...

[tex] = (5 \sqrt{2} + 3)(2 \sqrt{2} - 1) \\ = 20 - 5 \sqrt{2} + 6\sqrt{2} - 3 \\ = 17 + \sqrt{2} [/tex]
Nilai a = 17
Nilai b = 1

Maka :
= a + b
= 17 + (1)
= 17 + 1
= 18

(5√2+3)(2√2-1) = a + b√2
10(2)-5√2+6√2-3 = a + b√2
20 + √2 - 3 = a + b√2
17 + √2 = a + b√2
a = 17
b = 1

Jadi a + b = 17 + 1 = 18