If x= 3+√2 find √ x-1/√x

1.	If x= 3+√2 find √ x-1/√x
Answer» Answer: Let √x - 1/√x = a Squaring both the sides, x + 1/x - 2 = a^2 Putting the value, 3–2√2 + 1/(3–2√2) - 2 = a^2 a^2 = 1 - 2√2 + 1/(3–2√2) = [(3–2√2) (1–2√2) + 1] / 3–2√2 = {3 - 8√2 + 9} / 3–2√2 = [12 - 8√2] / 3–2√2 Rationalising both the sides = {(12 - 8√2)(3+2√2)} ÷ (9–8) = 36 + 24√2 - 24√2 + 16(2) = 36 - 32 => 4 a^2 = 4 a = √4 a = 2, -2 So, √x - 1/√x = a = 2, -2. hope it helps u mark me as brainliest Step-by-step EXPLANATION:

Answer»

Answer:

Let √x - 1/√x = a

Squaring both the sides,

x + 1/x - 2 = a^2

Putting the value,

3–2√2 + 1/(3–2√2) - 2 = a^2

a^2 = 1 - 2√2 + 1/(3–2√2)

= [(3–2√2) (1–2√2) + 1] / 3–2√2

= {3 - 8√2 + 9} / 3–2√2

= [12 - 8√2] / 3–2√2

Rationalising both the sides

= {(12 - 8√2)(3+2√2)} ÷ (9–8)

= 36 + 24√2 - 24√2 + 16(2)

= 36 - 32

=> 4

a^2 = 4

a = √4

a = 2, -2

So,

√x - 1/√x = a = 2, -2.

hope it helps u

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Step-by-step EXPLANATION:

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