Find the value of 6/ √5 - √3 , it being given that √3= 1.732 and √5 =2.236
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Answer:
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Step-by-step explanation:
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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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