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If X=9+4√5 find the value of √x-(1/√x)Pls answer it's urgent HHW Karna hai lol |
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Answer» √x - 1/√x = 4Step-by-step explanation:x = 9 + 4√5 (i) √x = √(9 + 4√5) [∵ it can be WRITTEN as (2 + √5)²) ]= √[(2)² + 2(2)(√5) + (√5)²]√x = √(2 + √5)²∴ √x = 2 + √5(II) 1/√x = 1/2 + √5Rationalizing The Denominator,= 1/2 + √5 × 2 - √5/2 - √5= 2 - √5/(2 + √5)(2 - √5)= 2 - √5/(2)² - (√5)²= 2 - √5/4 - 5= 2 - √5/-1= -(2 - √5)= -2 + √5∴ 1/√x = -2 + √5ATQ,√x - 1/√x = 2 + √5 - (-2 + √5)= 2 + √5 + 2 - √5√x - 1/√x = 4Plzzzz MARK As Brainliest! And Follow Me! |
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