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Tomtit [17]
3 years ago
11

Math help please! Simplify: √(4 + 16 + 16√3 + 12) = 4√(2 + √3)

Mathematics
1 answer:
lozanna [386]3 years ago
3 0

Both sides equal each other. Do you want to know how?

√(4 + 16 + 16√3 + 12) = 4√(2 + √3)

Surd Rule: Numbers with the same surd can be added together. Therefore, all whole integers can be added together.

√(4 + 16 + 16√3 + 12)

√((4 + 16 + 12 )+ 16√3 ) =

√(32 + 16√3)

Simplify by Factorising the common factor - 16

√(32 + 16√3) ÷ 16

√(16 (2 + √3))

Square root 16. This is because it is a not a surd because it is not in it's simplest form.

√16 = 4

√4 (2 + √3)

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I just added the 15 and 8, so now I move the -5.5 to the opposite side by adding.

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<u>        +5.5             +5.5</u>

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Here we can do the same with the -2m.

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<u>+2m                 +2m</u>

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To get rid of the -28.5 I added it to the 7 getting an answer of,

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Sorry it's really long, but I hope this helps! Have a great day!

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