Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
Sign in
Please select an account to continue using cracku.in
↓ →
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
$$\sqrt[3]{20 + 14\sqrt{2}} + \sqrt[3]{20 - 14\sqrt{2}} =$$ _______
Correct Answer: 4
$$(2 + \sqrt{2})^3 = 8 + 12\sqrt{2} + 12 + 2\sqrt{2} = 20 + 14\sqrt{2}$$, and similarly $$(2 - \sqrt{2})^3 = 20 - 14\sqrt{2}$$. So the sum is $$(2 + \sqrt{2}) + (2 - \sqrt{2}) = 4$$.
Was this solution helpful?
Predict your JEE Main percentile, rank & performance in seconds
Educational materials for JEE preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.