Question 65023
Multiply the things under the radical signs, then look for powers of 4 that can come out of the radical.
the fourth root of {{{sqrt(4a^2b^5)}}}times the fourth root of {{{sqrt(40a^4
(4)b^10)}}}
the fourth root of {{{sqrt((4a^2b^5)(40a^4(4)b^10))}}}
the fourth root of {{{sqrt((4a^2b^5)(160a^4b^10))}}}
the fourth root of {{{sqrt(640a^(2+4)b^(5+10))}}}
the fourth root of {{{sqrt(640a^6b^15)}}}
the fourth root of {{{sqrt(16*40*a^4*a^2*b^12*b^3)}}}
the fourth root of {{{sqrt(2^4*a^4*b^12*40*a^2*b^3)}}}
2ab^3 the fourth root of {{{sqrt(40a^2b^3)}}}
If you really meant the fourth root of the square root of ... let me know and I'll edit this.
Happy Calculating!!!