Question

Simplify the following completely. square root of 588 SHOW ALL WORK!!

Answer 1

Answer:    14 √ 3

Step-by-step explanation:

Step 1: List Factors

List the factors of 588 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Step 2: Find Perfect Squares

Identify the perfect squares* from the list of factors above:

1, 4, 49, 196

Step 3: Divide

Divide 588 by the largest perfect square you found in the previous step:

588 / 196 = 3

Step 4: Calculate

Calculate the square root of the largest perfect square:

√196 = 14

Step 5: Get Answer

Put Steps 3 and 4 together to get the square root of 588 in its simplest form:

     

14 √ 3