Respuesta :

Hello ;)

What is the product square of [tex]\sqrt{3}[/tex] and [tex]\sqrt{32}[/tex] in simplest radical form ?

[tex]\sqrt{3}[/tex] × [tex]\sqrt{32}[/tex]

= [tex]\sqrt{3}[/tex] × [tex]\sqrt{8*4}[/tex]

= [tex]\sqrt{3}[/tex] × [tex]\sqrt{8}[/tex] × [tex]\sqrt{4}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{8*3}[/tex]

= [tex]2\sqrt{24}[/tex]

= [tex]2\sqrt{4*3*2}[/tex]

= [tex]2[/tex] × [tex]\sqrt{4}[/tex] × [tex]\sqrt{3*2}[/tex]

= [tex]4\sqrt{6}[/tex]

:-)