What is sqrt(x)(sqrt(x)+1) ?

The solution to sqrt(x)(sqrt(x)+1) is x+sqrt(x)

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simplify sqrt(x)(sqrt(x)+1)

simplify

x (x + 1)

x + x

Solution steps

x (x + 1)

Apply the distributive law:

a (b + c) = ab + a c

x (x + 1) = x x + x \cdot 1

= x x + x \cdot 1

x x = x

x \cdot 1 = x

= x + x

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