2 / [ 5 sqrt(5) - 3 ]
Multiply the numerator and the denominator by the conjugate of the denominator:
the conjugate of [ 5 sqrt(5) - 3 ] is [ 5 sqrt(5) + 3 ].
The numerator of the answer: 2 x [ 5 sqrt(5) + 3 ] is 10 sqrt(5) + 6.
The denominator of the answer: [ 5 sqrt(5) - 3 ] x [ 5 sqrt(5) + 3 ] = 125 - 9 = 116.
2 / [ 5 sqrt(5) - 3 ]
Multiply the numerator and the denominator by the conjugate of the denominator:
the conjugate of [ 5 sqrt(5) - 3 ] is [ 5 sqrt(5) + 3 ].
The numerator of the answer: 2 x [ 5 sqrt(5) + 3 ] is 10 sqrt(5) + 6.
The denominator of the answer: [ 5 sqrt(5) - 3 ] x [ 5 sqrt(5) + 3 ] = 125 - 9 = 116.