Maths Olympiad - Surd over Surd under Square Root

Questions involving expressions with square roots and surds sprinkled all over the place are very common in Maths Olympiads and practice makes perfect.

Even though this question looks fairly difficult in fact it can be quite easily solved using basic surd and root techniques, as we show in this video.

The video 'How to Solve 'square root under square root' Questions' which we reference in this video, and which explains why the trick used works, can be found here

[grestyacademy]

For those interested in more square root videos, check out the Gresty Academy playlist 'Square Root (Surd) Teasers'

[mohdmikael-ozer]

Sir please make a video on this surd
👉 1/√14-6√5 = ? This is really confusing because my answer is (-3-√5)/4 but the correct answer is (3+√5)/4