Rationalize the denominator of 1 /√5+√2
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Step-by-step explanation:
Given,
1/(√5+√2)
To find,
Rationalize the denominator of 1(√5+√2)
Procedure,
Multiplying and dividing with √5 - √2
(√5-√2)/(√5+√2)(√5-√2)
(√5-√2)/[(√5)²-(√2)²]
(√5-√2)/[5-2]
(√5-√2)/3
Concepts we used in this question,
i) To rationalize a denominator of a rational number in the form 1/(a+b) then multiply and divide with (a-b)
ii) (a+b)(a-b) = a² - b²
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