What is sqrt(b)(sqrt(a)-sqrt(b)) ?

The solution to sqrt(b)(sqrt(a)-sqrt(b)) is sqrt(b)sqrt(a)-b

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simplify sqrt(b)(sqrt(a)-sqrt(b))

simplify

b (a - b)

b a - b

Solution steps

b (a - b)

Apply the distributive law:

a (b - c) = ab - a c

b (a - b) = b a - b b

= b a - b b

Apply radical rule:

a a = a,

assuming

a \geq 0

b b = b

= b a - b

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What is sqrt(b)(sqrt(a)-sqrt(b)) ?
The solution to sqrt(b)(sqrt(a)-sqrt(b)) is sqrt(b)sqrt(a)-b