Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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]

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.