Q. The value of √(17 + 12√2) is:
✅ Correct Answer: (A)
3 + 2√2
Explanation: Assume √(17+12√2)=√a+√b. Then a+b=17 and 2√ab=12√2 ⇒ ab=72. The pair (9,8) satisfies these conditions. Hence √17+12√2 = √9+√8 = 3+2√2.
Explanation by: Mr. Dubey
Assume √(17+12√2)=√a+√b. Then a+b=17 and 2√ab=12√2 ⇒ ab=72. The pair (9,8) satisfies these conditions. Hence √17+12√2 = √9+√8 = 3+2√2.