Question

if x = 3 − 2√2, find the value of (x + 1/x )^2 . [use identity (a + b)^2 = a^2 + b^2+2ab]

Answer 1

Answer:

X=3+2√2

x+¹/√x=?

x+¹/√x= (3+2√2)+1/(√3+2√2)

(√3+2√2 here means 3+2√2 whole root)

=(3+2√2)+(1)²/(√3+2√2)²

(squaring both numerator and dinominator)

=(3+2√2)+1/3+2√2

=(3+2√2)+1.(3-2√3)/(3+2√2)(3-2√2)

=(3+2√2)+(3-2√2)/3²-(2√2)²

=(3+2√2)+(3-2√2)/(9-8)

=3+2√2+3-2√2

=3+3

=6

Step-by-step explanation:

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