Evaluate Square Root Expression with Given Variables m=-5 and n=29

Published on March 31, 2026

Pre-Algebra

Substitute m=-5 and n=29 into the expression sqrt(-4m + n) and calculate the result by simplifying the terms under the radical.

Question

Answer

The problem asks for the value of the expression given that and .
Here is the step-by-step solution:
  1. Identify the given values:
  2. Substitute these values into the expression:
  3. Calculate the product :
  4. Substitute this result back into the expression under the radical:
  5. Calculate the sum inside the square root:
  6. Calculate the square root:
    Since , the principal square root is 7.
The value of when and is 7.