Easy Algebra Step-by-Step

40 Easy Algebra Step-by-Step

c.^3

4

d.^1

2

Solution

a. 48

Step 1. Express 48 as a product of two numbers, one of which is the largest

perfect square.

48

=⋅ 163

Step 2. Replace 16 ⋅ 3 with the product of the square roots of 16 and 3.

=⋅ 16 3

Step 3. Find 16 and put the answer in front of 3 as a coeffi cient. (See

Chapter 6 for a discussion of the term coeffi cient.)

= 43

Step 4. Review the main results.

48 =⋅ 1616311636 = 43

b. 360

Step 1. Express 360 as a product of two numbers, one of which is the

largest perfect square.

360

=⋅ 3610

Step 2. Replace 36 ⋅ 10 with the product of the square roots of 36 and 10.

=⋅ 36 10