What is 2 * sqrt (3-2 * sqrt (2)) + sqrt (17-12 * sqrt (2)) The sqrt above means the root sign. How to solve this problem, the final result is 1,

What is 2 * sqrt (3-2 * sqrt (2)) + sqrt (17-12 * sqrt (2)) The sqrt above means the root sign. How to solve this problem, the final result is 1,

Sqrt (3-2 * sqrt (2)) = sqrt (2-2 * sqrt (2) + 1) = sqrt ((sqrt (2) ^ 2-2 * sqrt (2) + 1) = sqrt ((sqrt (2) - 1) ^ 2) = sqrt (2) - 1. Similarly, sqrt (17-12 * sqrt (2)) = sqrt (9-12 * sqrt (2) + 8) = sqrt ((3-sqrt (8)) ^ 2) = 3-2 * sqrt (2)

Why is √ (3 + 2 √ (5 + 12 √ (3 + 2 √ 2))) equal to √ (3 + 2 √ (17 + 12 √ 2))
I've been thinking for a long time, but I still don't know why. Please! Gemini

To observe the formula, we only need to prove that 5 + 12 √ (3 + 2 √ 2) = 17 + 12 √ 2 and √ (3 + 2 √ 2) = √ ((1 + √ 2) ^ 2) = 1 + √ 2, then 5 + 12 √ (3 + 2 √ 2) = 5 + 12 (1 + √ 2) = 17 + 12 √ 2 is proved. Therefore, the original equation is established
Thank you!

16 seconds is equal to 60 minutes!}
Write down the process of solving the problem! I forgot whether to divide 60 ° or 16 seconds first!

From degree to degree:
60 degrees △ 6 = 10 degrees,
17 △ 6 = 2.5,
5 minutes 16 seconds △ 6 = 316 seconds △ 6 = 52 and 2 / 3 seconds
60 ° 17 minutes 16 seconds divided by 6 is 10 degrees 2 minutes 52 and 2 / 3 seconds