Question

Given:

A= The square root of 3
B= 2 times the square root of 3
C= The square root of 25
D= The square root of 16
Which expressions result in a rational number? Select all that apply.

a. a+b
b. c+d
c. a+d
d. a*b
e. b*d
f. c*d
g. a*a

Answer 1

• b, d, f, g

Explanation:

Given:

• A= √3
• B= 2 √3
• C= √25 = 5
• D= √16 = 4

Possible expressions resulting in a rational number are the product of A and B and any combination of C and D as they are rational

Correct choices

• b. c+d = 5+4 = 9
• d. a*b = √3×2√3 = 2×3 = 6
• f. c*d = 5×4 = 20
• g. a*a = √3×√3 = 3