Divide 8 to the square root of 6 times the square root of 2

Answer 1

The expression 8 divided by the square root of 6 times the square root of 2 can be simplified as follows:

8 / (√6 * √2)

Since √6 * √2 is equal to √12, we can rewrite the expression as:

8 / √12

To simplify further, we need to rationalize the denominator by multiplying both the numerator and denominator by the square root of 12:

8 * √12 / (√12 * √12)

This gives us:

8√12 / 12

Finally, dividing both the numerator and the denominator by 4:

2√12 / 3

Therefore, 8 / (√6 * √2) simplifies to 2√12 / 3.