Question

Select the radical expression that is currently in simplest radical form

A.) √60
B.) √80
C.) √45
D.) √51

Answer 1

C.) √45

Explanation:

Step 1: To determine the simplest radical form, we need to simplify the square roots by factoring the radicands.

Step 2: √60 = √(2*2*3*5) = √2*2*√3*√5 = 2√15

Step 3: √80 = √(2*2*2*2*5) = √2*2*2*2*√5 = 4√5

Step 4: √45 = √(3*3*5) = √3*3*√5 = 3√5

Step 5: √51 = √(3*17) = √3*√17 = 3√17

Step 6: Since √45 is already in simplest radical form, C. is the correct answer.