### All PSAT Math Resources

## Example Questions

### Example Question #1 : How To Find The Common Factor Of Square Roots

Solve for :

**Possible Answers:**

**Correct answer:**

Explanation:

Notice how all of the quantities in square roots are divisible by 9

Simplifying, this becomes

### Example Question #1 : Factoring And Simplifying Square Roots

If m and n are postive integers and 4^{m} = 2^{n}, what is the value of m/n?

**Possible Answers:**

16

8

2

4

1/2

**Correct answer:**

1/2

Explanation:

- 2
^{2 }= 4. Also, following the rules of exponents, 4^{1 }= 1. - One can therefore say that m = 1 and n = 2.
- The question asks to solve for m/n. Since m = 1 and n = 2, m/n = 1/2.

### Example Question #1 : How To Find The Common Factors Of Squares

Simplify the radical:

**Possible Answers:**

**Correct answer:**

Explanation:

### All PSAT Math Resources

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