# SAT Math : How to evaluate rational expressions

## Example Questions

### Example Question #1 : How To Evaluate Rational Expressions

If √(ab) = 8, and a= b, what is a?

16

4

2

10

64

4

Explanation:

If we plug in a2 for b in the radical expression, we get √(a3) = 8. This can be rewritten as a3/2 = 8. Thus, loga 8 = 3/2. Plugging in the answer choices gives 4 as the correct answer.

37/15

–11/5

–37/15

–9/5

9/5

–11/5

Explanation:

### Example Question #4 : Rational Expressions

If Jill walks  in , how long will it take Jill to walk

Explanation:

To solve this, we need to set a proportion.

Cross Multiply

So it will take Jill  to walk

### Example Question #222 : New Sat

If , then which of the following must be also true?
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