# SAT Math Multiple Choice Question 887: Answer and Explanation

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**Question: 887**

**2.** Which of the following giveswritten in simplest form?

- A.
- B.
- C.
- D.

**Correct Answer:** A

**Explanation:**

**A**

**Difficulty:** Hard

**Category:** Passport to Advanced Math / Exponents

**Strategic Advice:** Before you can combine radical expressions with non-radical expressions, you must write them in the same form. Here, you can rewrite the square root of *xy* as.

**Getting to the Answer:** First, simplify as much as possible using the rules of exponents. Then rewrite the radical as a power of *xy* and simplify further, using the rules of exponents to combine terms that have the same base:

The answer choices are given as radicals, so change the powers back to roots. The negative power on *x* moves it to the denominator, and for the *y* term, use the saying "power over root" to help you write the correct radical form:

The answer is (A).