tylerdawson585
Answered

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Simplify fully V8 x V18

Simplify Fully V8 X V18 class=

Sagot :

loyalkikster

Answer:

12

Step-by-step explanation:

·[tex]\sqrt{8}[/tex]×[tex]\sqrt{18}[/tex]=[tex]\sqrt{144}[/tex]

[tex]\sqrt{144}[/tex]=12

Answer:

12

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a

Given

[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]

Simplifying each radical

[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Thus

[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]

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

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

= 6 × 2

= 12

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