(squareroot 3+squareroot 5)^2=8+2 squareroot 15 : how come this is true? Please explain

I'm in the 9th grade and I can't understand this, please help!
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(squareroot 3+squareroot 5)^2=8+2 squareroot 15

(sqrt(3) + sqrt(5) )^2 = (sqrt(3) + sqrt(5) ) * (sqrt(3) + sqrt(5) ) 

Multiplying out this gives

3 +sqrt(3)sqrt(5)+ sqrt(3)sqrt(5) + 5

= 8 + 2 (sqrt(3)sqrt(5))

using the rule sqrt(a) * sqrt(b) = sqrt(a*b)

= 8+2 sqrt(15)

by Level 3 User (4.6k points)

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