Question

Find the value of 6/ √5 - √3 , it being given that √3= 1.732 and √5 =2.236

Answer 1

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Step-by-step explanation:

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Answer 2

Given : √3 = 1.732 and √5 = 2.236

 

(i) We have 6/ (√5 - √3)

On Rationalising the denominator :  

= 6 × (√5 + √3) /[(√5 - √3)

× (√5 + √3)]

= 6 × (√5 + √3) /√5² - √3²

[By Using Identity :  (a + b)(a – b) = a² - b²]

= 6 × (√5 + √3) /2

=  3 (√5 + √3)  

= 3 (2.236 + 1.732)

[Given : √3 = 1.732 and √5 = 2.236]

= 3(3.968)

= 11.904

6/ (√5 - √3) = 11.904

Hence the value of 6/ (√5 - √3) is 11.904.

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