If x= 3 - 2√2 show that √x - 1/√x = ± 2

1.	If x= 3 - 2√2 show that √x - 1/√x = ± 2
Answer» x = 3-2√2 1/x = 1/3-2√ 2 x 3+2√2/3+2√2 1/x = 3+2√2 / 9 - 8 1/x = 3+2√2 x + 1/x = (3-2√2) + (3+2√2) x + 1/x = 3 - 2√2 + 3 + 2√2 x + 1/x = 6 x + 1/x = 4 + 2 x + 1/x - 2 = 4 (√x - 1/√x)² = 4 √x - 1/√x = √4 √x - 1/√x = ± 2

Answer»

x = 3-2√2

1/x = 1/3-2√ 2 x 3+2√2/3+2√2

1/x = 3+2√2 / 9 - 8

1/x = 3+2√2

x + 1/x = (3-2√2) + (3+2√2)

x + 1/x = 3 - 2√2 + 3 + 2√2

x + 1/x = 6

x + 1/x = 4 + 2

x + 1/x - 2 = 4

(√x - 1/√x)² = 4

√x - 1/√x = √4

√x - 1/√x = ± 2

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If x= 3 - 2√2 show that √x - 1/√x = ± 2

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