SAT Math Multiple Choice Question 887: Answer and Explanation
2. Which of the following giveswritten in simplest form?
Correct Answer: A
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).