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).