- Isolate the square root
- Check that the inequality is true (i.e. not less than 0)
- Find the real region for the square root, (i.e. see when the expression inside square root is greater than or equal to 0)
- Simplify and compute the inequality
- Combine the ranges
Let’s see how to do one example step by step.
First example (click here):
Step 1: Isolate the square root
Step 2: Check that the inequality is true
Yes, this inequality is true the radical is not less than 0.
Step 3: Find the real region for the square root
Step 4: Simplify and compute the inequality
Step 5: Combine the ranges
That wasn’t too difficult. Let’s see some more examples.
Second example (click here):
Last example (click here):
Solving radical inequalities isn’t too difficult, however, they require practice. For more practice examples check out Symbolab’s practice.
Until next time,