If √3 is approximately equal to 1.732, then:
√[√3 + 1 / √3 - 1] = √[(1.732 + 1) / (1.732 - 1)]
Now, simplify the expression within the square root:
= √[2.732 / 0.732]
= √(3.731)
≈ 1.931
So, the value of √[√3 + 1 / √3 - 1] is approximately 1.931. (I think)