Steps:

- 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

and

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,

Leah

It's great if math is really something what you want to do in your future. Everyone should be happy. I'm happy when I write psychology essays and use https://nerdymates.com/blog/psychology-essay-topics to find topics. And you?

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