Question

rationalise 5+2square root 5 divided by square root 5.
please can someone help me on how to get the answer 2+square root 5

Answer 1

(5 + 2sqrt(5)) / sqrt(5)
Multiply numerator and denominator by
sqrt(5):
(5sqrt(5) + 2 * 5) / 5 =
(5sqrt(5) + 10) / 5 =
Divide numerator and denominator by 5:
(sqrt(5) + 2) / 5