if x =√5-2/√5+2 then find x2
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Answer:
Here is your answer : 161-72√5
Step-by-step explanation:
First we have to rationalize the denominator by the conjugate method, that is,
(√5-2/√5+2) * (√5-2/√5-2)
We get 9-4√5
Now to find, x² that is,
(9-4√5)² = (9)² - 2*9*4√5 + (4√5)²
=81-72√5+80
The final answer is 161-72√5
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