L2= 7+ Vuo Find The value of 5x + L – InterviewSolution

1.

L2= 7+ Vuo Find The value of 5x + L

Answer»

Given:

x = 7 + √40 = 5 + 2 + 2√10 = (√5 + √2)²

√x = √5 + √2

1/√x = 1/(√5 + √2) = (√5 - √2)/((√5 + √2)(√5 - √2) = (√5 - √2)/(5 - 2) = (√5 - √2)/3

√x + 1/√x = √5 + √2 + (√5 - √2)/3 = (2/3)(2√5 + √2)

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