Question 26 on the MAT0020/24C Beginning Algebra State Exam

Simplify Square Root of a Monomial

Solution:

Simplify completely: 

One method of simplifying this radical expression is to break the radicand into prime factors.

The next step is for every pair, one value is brought out the radical, then simplify.

Another method is to create two radicals were one radical contains what can be square rooted (perfect squares) and the other radical contains what can not be square rooted (non perfect squares).

The next step is to take the square root of the perfect squares.

The solution is: 

Practice Problems for Question 26

Simplify Square Root of a Monomial

Solutions Below

1.  Simplify completely:                                                                                

a.                 b.                c.                 d. 

2.  Simplify completely:                                                                             

a.             b.               c.                d. 

3.  Simplify completely:                                                                              

a.                b.                 c.                   d. 

4.  Simplify completely:                                                                                     

a.             b.            c.           d. 

Solutions:

1.  a                 2.  c                      3.  b                         4.  d