If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2√6.
Let's assume the two numbers are a and b.
Mean proportion of two numbers (a, b) = √(ab)
LCM × HCF = ab
⇒ 12 × 2 = ab
⇒ ab = 24
Mean proportion of two numbers (a, b) = √24
= 2√6