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Simplify the expression 2√6 -5√54

Sagot :

Answer:

- 13[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

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

Simplifying [tex]\sqrt{54}[/tex]

[tex]\sqrt{54}[/tex]

= [tex]\sqrt{9(6)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]

= 3[tex]\sqrt{6}[/tex]

Then

2[tex]\sqrt{6}[/tex] - 5[tex]\sqrt{54}[/tex]

= 2[tex]\sqrt{6}[/tex] - 5 (3[tex]\sqrt{6}[/tex] )

= 2[tex]\sqrt{6}[/tex] - 15[tex]\sqrt{6}[/tex]

= - 13[tex]\sqrt{6}[/tex]

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