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

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

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simplify sqrt(x)(sqrt(x)+sqrt(y))

simplify

x (x + y)

x + x y

Solution steps

x (x + y)

Apply the distributive law:

a (b + c) = ab + a c

x (x + y) = x x + x y

= x x + x y

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= x + x y

(ab + \frac{9}{2}) (- \frac{9}{2} + ab)

tan^{2} (x) - sin^{2} (x) (cot^{2} (x) + tan (x))^{2}

\frac{2 x ( x + 1 ) ( x - 1 )}{x ^{4} + 6 x ^{2} + 1}

\frac{7}{( x - 1 ) ( x + 2 )}

(\frac{5}{x - 10} + 8 (100 - x)) (x - 10)

What is sqrt(x)(sqrt(x)+sqrt(y)) ?
The solution to sqrt(x)(sqrt(x)+sqrt(y)) is x+sqrt(x)sqrt(y)