Math Olympiad Problem | A Nice Math Square Root Simplification Problem | Nice Trick.

[@wyterminator3736]

Another method.. SQRT(3^x * SQRT( (9^x) * SQRT(81^x ) ) ) = 81 = 3 ^ 4 where SQRT(81 ^ X) = SQRT(9 ^ 2x) = 9^x SQRT( 3^x * SQRT( 9^x * 9^x ) ) = 3 ^ 4 where SQRT( 9^x * 9^x ) ) = 9 ^ x = 3 ^ 2x SQRT( 3 ^ x * 3 ^ 2x ) = 3 ^ 4 SQRT( 3 ^ 3x ) = 3 ^ 4 where SQRT( 3 ^ 3x ) = 3 ^ (3/2)x 3 ^ (3/2)x = 3 ^ 4 where 3x/2 = 4 multiply each side by 2/3. x = 8/3