Question

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

Answer 1

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)