sierch0146
sierch0146 sierch0146
  • 02-09-2021
  • Mathematics
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What is the product of square root of 13 and the square root of 132 in simplest
radical form?

What is the product of square root of 13 and the square root of 132 in simplest radical form class=

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Dungrin Dungrin
  • 02-09-2021

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]

:-)

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