on rationalizing denominator of 1/2+root3
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Step-by-step explanation:
Here is your answer:
Given ,
An number -
Objective:
To rationalize the denominator.
Solution,
To rationalize the denominator we must multiply and divide the number by the denominator's conjugate.
Conjugate of denominator is -- 2 + √3.
Then,
We know that, (a+b) ( a-b) = a² - b².
So, (2+√3)(2-√3) = 2² -(√3)² = 4 - 3 = 1.
Then,
⇒
Hence the denominator is rationalized.
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