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Please Help Me Answer this Question.

Step by Step.

((sqrt(7+sqrt(24)))/(2) + (sqrt(7-sqrt(24)))/(2))^2

Guest Nov 21, 2018
 #1
avatar
+1

Simplify the following:


((sqrt(sqrt(24) + 7))/2 + (sqrt(7 - sqrt(24)))/2)^2

[1/2 (1 + sqrt(6)) + 1/2 (sqrt(6) - 1]^2


(sqrt(6) + 1)/2 + (sqrt(6) - 1)/2

(sqrt(6) + 1)/2 + (sqrt(6) - 1)/2 = ((sqrt(6) + 1) + (sqrt(6) - 1))/2:


[(1 + sqrt(6) - 1 + sqrt(6))/2]^2

1 + sqrt(6) - 1 + sqrt(6) = 2 sqrt(6):


[(2 sqrt(6))/2]^2

(2 sqrt(6))/2 = 2/2×sqrt(6) = [sqrt(6)]^2 - Take its sqrt

= 6

Guest Nov 21, 2018
 #2
avatar+656 
+2

Nice work, guest! if you want to write your answer in LaTeX, there is an icon that can convert text into LaTeX. Simply paste the text in the box, and the LaTeX will appear. 

 

- PM

PartialMathematician  Nov 22, 2018

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