Ellie completed an algebraic proof to show that V12 + V108 = 8 - 31. =
V12 + 7108
122 + 1083
42. 33 + 362 - 31
8.32
Which expression can be placed in the blank to correctly complete Ellie's
proof?

The answer to your question is given below.

Step-by-step explanation:

To know the correct answer to the question, do the following:

√12 + √108

= 12^½ + 108^½

= 4^½ • 3^½ + 36^½ • 3^½

Factorise

3^½ (4^½ + 36^½)

Recall:

4^½ = √4 = 2

36^½ = √36 = 6

Therefore,

3^½ (4^½ + 36^½) = 3^½ (2 + 6)

= 3^½ • 8

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