Math, asked by tinni1, 1 year ago

if x=3-2√2 , find the value of √x+1/x

Answers

Answered by ShivajiK

X = 3 – 2r(2)
1/X = 1/(3–2r(2)) = 3+2r(2)
X+1/X = 3–2r(2)+3+2r(2) = 6
Sqrt(x+1/x) = sqrt(6)

tinni1: reply plz

ShivajiK: X = 3–2sqrt(2)

tinni1: yes my question is perfect

tinni1: yes

ShivajiK: then according to your question answer is sqrt(6)

tinni1: leave it now i can confirm it from my school teacher. thanks for your concern sir . ok bye.

ShivajiK: bye

ShivajiK: after conforming your answer confirm me once

tinni1: okay

ShivajiK: kk

Answered by sandy1816

Step-by-step explanation:

$x = 3 - 2 \sqrt{2} \\ \frac{1}{x} = \frac{1}{3 - 2 \sqrt{2} } \\ \frac{1}{x} = \frac{3 + 2 \sqrt{2} }{9 - 8} \\ \frac{1}{x} = 3 + 2 \sqrt{2} \\ \\ x + \frac{1}{x} = 6 \\ x + \frac{1}{x} + 2 = 8 \\ ( { \sqrt{x} + \frac{1}{ \sqrt{x} } })^{2} = 8 \\ \sqrt{x} + \frac{1}{ \sqrt{x} } = 2 \sqrt{2}$

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