If you are pressed for time on this question you can get down to D or E quickly by estimating. Convert the radicals to actual numbers and execute the arithmetic.

The answer choices are approximately

A 1

B ~0

C ~9

D 18

E 20

The question can be restated as

(sqrt(9+9) + sqrt (9-9))squared

sqrt(18)squared

18ish

D or E

Depending on your ability to execute the exponent algebra, it may be a "win" to get this quickly to a coin flip and move on.

A similar approach is useful on

OG2019 77 (estimating the value of sqrt 2 and defining the longest and the shortest the cord could be), 81, 100, 119, and 180. 100 and 180 also need a variables in the answer choices approach.

Jayson Beatty

Indigo Prep

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Jayson Beatty

Indigo Prep

http://www.indigoprep.com