What is sqrt(3)(sqrt(3)+x) ?

The solution to sqrt(3)(sqrt(3)+x) is 3+sqrt(3)x

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simplify sqrt(3)(sqrt(3)+x)

simplify

3 (3 + x)

3 + 3 x

Solution steps

3 (3 + x)

Apply the distributive law:

a (b + c) = ab + a c

3 (3 + x) = 33 + 3 x

= 33 + 3 x

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 3 + 3 x

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