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3 years ago

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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$\bf \begin{array}{ccccccccc}
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so, let's check the ratio of AP:PB

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