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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=

Sagot :

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]

:-)