Squaring a binomial with radicals

How do you square this?
(√3 + √5)²

= (√3 + √5)(√3 + √5)   {when squaring a binomial, multiply it by itself}
= √3 (√3) + √3 (√5) + √5 (√3) + √5 (√5)   {used foil method}
= √9 + √15 + √15 + √25   {multiplied through}
= 3 + 2√15 + 5   {evaluated square roots}
= 8 + 2√15   {combined like terms}

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