6√2-5√14

To simplify the expression 6√2 - 5√14, we can start by finding the prime factors of 2 and 14:

2 = 2
14 = 2 * 7

Now, rewrite the expression:

6√2 - 5√(2 * 7)

Next, we can simplify the expression further by factoring out the common factor:

6√2 - 5(√2 * √7)

= 6√2 - 5√2√7

= √2(6 - 5√7)

Therefore, the simplified form of the expression is √2(6 - 5√7).