What is sqrt(x)(2sqrt(x)+1) ?

The solution to sqrt(x)(2sqrt(x)+1) is 2x+sqrt(x)

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simplify sqrt(x)(2sqrt(x)+1)

simplify

x (2 x + 1)

2 x + x

Solution steps

x (2 x + 1)

Apply the distributive law:

a (b + c) = ab + a c

x (2 x + 1) = x \cdot 2 x + x \cdot 1

= x \cdot 2 x + x \cdot 1

x \cdot 2 x = 2 x

x \cdot 1 = x

= 2 x + x

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