class 9 maths answer it plz as soon as possible y r u all not answering plz fastttttt
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Given :
x = 7 + 4√3
To find :
√x + 1 / √x
Solution :
x = 7 + 4√3
⇒ x = 4 + 3 + 4√3
⇒ x = 2² + √3² + 2 × 2 × √3
⇒ x = ( 2 + √3)²
⇒ √x = 2 + √3
Now,
1 / √x = 1 / 2 + √3 × 2 - √3 / 2 - √3
⇒ 1 / √x = 2 - √3 / 2² - √3²
⇒ 1 / √x = 2 - √3 / 4 - 3
⇒ 1 / √x = 2 - √3
Again,
√x + 1 / √x = 2 + √3 + 2 - √3
⇒ √x + 1 / √x = 2 + 2
⇒ √x + 1 / √x = 4
Hence,
√x + 1 / √x = 4
please mark the answer as brainliest please
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Answer:
Your answer is option (d)-1
Step-by-step explanation:
For explaination refer to attached file
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