4/√10-√6

To simplify the expression 4/√10 - √6, we need to rationalize the denominator.

First, let's rationalize the denominator of √10:

√10 = √(2*5) = √2√5

Now, let's substitute √10 with √2√5 in the expression:

4/(√2√5) - √6

To simplify this further, we need to multiply both the numerator and denominator of 4/(√2√5) by √2 to rationalize the denominator:

4/(√2√5) * (√2/√2) = 4√2/(√10)
= 4√2/√(2*5)
= 4√2/√2√5
= 4√2/(√2√5)
= 4/√5

Now, substitute back into the original expression:

4/√5 - √6

So, 4/√10 - √6 simplifies to 4/√5 - √6.