What is the Rationalising factor of 5 1/3 +5 -1/3 find the rationalising factor by prrof

Question

Arun · Answer

Dear student It can be written as 5^1/3 + 5^-1/3 rationalizing factor is ( 5^2/3 + 5 ^-2/3 – 1) as when multiplied, this convert in to the formula of a^3 + b^3

Vikas TU · Answer

Dear student Here is the explanation of above question. Your question is how to rationalize the above expression. The above answer gives you the shortest way to rationalize the expression. For finding rationalizing factor you can use this method. This is somewhat complex . Take 5^1/3=a & 5^-1/3=b Now find the lcm if the exponents. In this case since the denominator is same therefore the LCM is 3 Now a^3=5 & b^3=5^-1 Since a and b are rational therefore a^3-b^3 is also rational a^3-b^3=(a-b)(a^2+ab+b^2) Rationalizing factor of a-b=(5^1/3–5^-1/3) =5^2/3+5^–2/3+5^2/3*5^-2/3 Now just solve the above expression and get the rationalizing factor Hope this will help Good Luck

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What is the Rationalising factor of 5 1/3 +5 -1/3 find the rationalising factor by prrof

What is the Rationalising factor of 5^1/3+5^-1/3find the rationalising factor by prrof

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What is the Rationalising factor of 5 1/3 +5 -1/3 find the rationalising factor by prrof

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What is the Rationalising factor of 5^1/3+5^-1/3find the rationalising factor by prrof