### Home > PC3 > Chapter 2 > Lesson 2.3.1 > Problem2-132

2-132.

As the connected complexity of mathematical concepts evolve, your mathematical knowledge evolves as well. Previous knowledge provides the necessary skills to acquire new learning. If necessary, review the Simplifying and Combining Radicals Skill Builder, to strengthen your understanding of this topic.

Simplify each of the following radical expressions.

1. $\sqrt{12}+\sqrt{\frac{3}{4}}-\sqrt{27}$

1.  $( 2 \sqrt { b } - \sqrt { a } ) ( \sqrt { b } + 3 \sqrt { a } )$

1. $( \sqrt { 2 } - \sqrt { 3 } ) ^ { 2 }$

1. $\sqrt [ 4 ] { x ^ { 4 } y ^ { 9 } }$

Answers and extra practice for the Skill Builder problems are located in the Reference Tab of your eBook.