**1/(√7 - 2)**

We need to multiply the numerator and denominator of 1/(√7 - 2) by √7 + 2, to get

1/(√7 - 2) x (√7 + 2)/(√7 + 2)

= (√7 + 2)/(√7 - 2)(√7 + 2)

We need to apply the formula (a - b)(a + b) = a^{2 }- b^{2} in the denominator to get

1/(√7 - 2) = (√7 + 2)/(√7)^{2} - (2)^{2}

= (√7 + 2)/(7 -4)

= (√7 + 2)/3

Therefore, we conclude that on rationalizing the denominator of 1/(√7 - 2), we get (√7 + 2)/3.