Answered

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Pls help working this out step by step:
Simplify fully (4+√12)(5-√3)

Sagot :

Answer:

14 + 6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

(4 + [tex]\sqrt{12}[/tex] )(5 - [tex]\sqrt{3}[/tex] )

Each term in the second factor is multiplied by each term in the first factor

4(5 - [tex]\sqrt{3}[/tex] ) + [tex]\sqrt{12}[/tex] (5 - [tex]\sqrt{3}[/tex] ) ← distribute parenthesis

= 20 - 4[tex]\sqrt{3}[/tex] + 5[tex]\sqrt{12}[/tex] - [tex]\sqrt{36}[/tex]

= 20 - 4[tex]\sqrt{3}[/tex] + 5(2[tex]\sqrt{3}[/tex] ) - 6

= 20 - 4[tex]\sqrt{3}[/tex] + 10[tex]\sqrt{3}[/tex] - 6 ← collect like terms

= 14 + 6[tex]\sqrt{3}[/tex]

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