Math, asked by nir61, 11 months ago

If x=9+4√5 , find √x - 1/√x = ?

PLZZ.. ANSWER THIS QUESTION..​

Answers

Answered by Nikhil22022006
0

Answer:

idk i don't know hahahhaha


Fifth: why thats not funny at all :/
Answered by Fifth
1

Answer:

4

Step-by-step explanation:

x = 9+4√5

x = 4+5+4√5

x = (√4)² + (√5)² + 2 (√4) (√5)   [a² + b² + 2ab]

x = (√4 + √5)²                             [(a+b)²]

√x = √4 + √5

1/√x = 1/√4+√5

       = 1/√4+√5 × √4 - √5/√4 - √5

       = √4-√5/-1                      (-1 came as a result of √4² - √5² =4-5=-1)

       = -√4+√5

√x - 1/√x = √4 + √5 - (-√4+√5)

               = √4 + √5 + √4-√5

               = 2√4

               = 2 × 2

               = 4

HOPE IT HELPS ^_^

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