Question

what is the result of this radical multiplication ?

Answer 1

\[(\sqrt{x}+\sqrt{x+h})(\sqrt{x}-2\sqrt{x+h})\]

Answer 2

FOIL it

Answer 3

??

Answer 4

Treat them radicals as you would your variables (x's, y's, etc)

Answer 5

\[\sqrt a=a^{1/2}\]
\[\sqrt a\times\sqrt a=a^{1/2}\times a^{1/2}=a^{1/2+1/2}=a^{2/2}=a^1=a\]

Answer 6

\[\sqrt a \times \sqrt b=\sqrt {ab}\]