Answer:
fourth root of 12*13^3
-------------------------------- - 2
13
Explanation:
First focus on the 132/143 expression inside the 4th root function.
132/143 = 12/13
and so we have:
fourth root of 12/13 - 2
We must rationalize the denominator of the expression shown above. In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13. To do this, multiply that 12 by 13^3 and that 13 by 13^3:
12*13^3
fourth root of { -------------- }
13^3*13
This simplifies to:
fourth root of 12*13^3
--------------------------------
13
To obtain the final answer, subtract 2 as shown in the original problem:
fourth root of 12*13^3
-------------------------------- - 2
13