Simplify by rationalizing the denominator: 4 over square root 10 - square root 6
To rationalize the denominator of 4/(√10 - √6), we need to multiply both the numerator and denominator by the conjugate of the denominator, which in this case is (√10 + √6).
4/(√10 - √6) * (√10 + √6)/(√10 + √6)
= 4(√10 + √6)/(10 - 6)
= 4(√10 + √6)/4
= √10 + √6
Therefore, the simplified form of 4/(√10 - √6) is √10 + √6.