To find the least common multiple (LCM) of √2 and √6, we need to first express these numbers in a more convenient form. Since both √2 and √6 are irrational numbers, it’s not straightforward to calculate their LCM directly. However, we can simplify the problem as follows:
Express √2 and √6 as the square root of a whole number:
√2 can be expressed as √(2 * 1), which is √(2).
√6 can be expressed as √(2 * 3), which is √(6).
Now, we have simplified expressions for both numbers. To find their LCM, we can treat them as ordinary numbers:
LCM(√2, √6) = LCM(√2, √6) = LCM(√2, √6)
Now, find the LCM of 2 and 6. The LCM of 2 and 6 is 6. Since the LCM is the same for both numbers, you can simply express the LCM as √6:
