SAT Math XV

Algebra Level 2

For A 2 A \ge -2 , A = A + 2 \spadesuit A=\sqrt{A+2} . Which of the following is the equivalent of 14 + 34 \spadesuit14+\spadesuit34 ?

98 \spadesuit 98 16 \spadesuit 16 64 \spadesuit 64 10 \spadesuit \sqrt{10}

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1 solution

Shohag Hossen
Jun 16, 2015

(icon)A = sqrt ( A + 2 )

So , (icon)14 = sqrt ( 14 + 2 ) = 4

And , (icon)34 = sqrt ( 34 + 2 ) = 6

So , (icon)14 + (icon)34 = 10

Now , (icon)98 = sqrt ( 98 + 2 ) = 10 ( proved )

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