Nth square roots?

Question

hope you can understand this
24√(1-m)+10=6

radical is only over the 1-m and it is 2 to the 4th radical

Answer 1

Reading as:-
2^4 (1 - m)^(1/2) + 10 = 6
2^4 (1 - m)^(1/2) = - 4
(1 - m)^(1/2) = - 4 / 2^4
(1 - m) = 16 / 2^8
m = 1 - 16 / 2^8
m = 1 - 1 / 2^4
m = (2^4 - 1) / 2^4
m = 15 / 16

However it may be that you mean:-
2^(1/4) (1 - m)^(1/2) + 10 = 6
2^(1/4) (1 - m)^(1/2) = - 4
(1 - m)^(1/2) = - 4 / 2^(1/4)
1 - m = 16 / 2^(1/2)
m = 1 - 16 / 2^(1/2)
m = 1 - 2^(3/2)

Hopefully you will get something from above but question was difficult to decipher.

Answer 2

the answer is 577.758943