Question 96

Let m and n be two numbers such that their LCM is 196 and their HCF is 7. If the difference between the two numbers is 21. then find the value of $$\sqrt{\frac{m \times n}{7}}$$

This is a direct relation: If the numbers are m and n, their product will equal the product of their LCM and HCF.

Applying the same in this question, m$$\times\ $$n = 196$$\times\ $$7

Putting this in the required expression, we get the answer as $$\sqrt{\ 196}$$, which is 14.

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