Hi, I am very new to this topic and I am having a difficult time trying to understand the concept behind this certain aspect of the topic Logarithms.
When trying to rationalize the denominator, I don't understand why I must multiply it by a fraction with the same numerator and denominator. Like the example here:
. . . . .\(\displaystyle \dfrac{3}{\sqrt{\strut 2\,}}\, =\, \dfrac{3}{\sqrt{\strut 2\,}}\, \left(\dfrac{\sqrt{\strut 2\,}}{\sqrt{\strut 2\,}}\right)\, =\, \dfrac{3}{2}\, \sqrt{\strut 2\,}\)
Surely i could just make the numerator 1 and the denominator square root of 2 right?
When trying to rationalize the denominator, I don't understand why I must multiply it by a fraction with the same numerator and denominator. Like the example here:
. . . . .\(\displaystyle \dfrac{3}{\sqrt{\strut 2\,}}\, =\, \dfrac{3}{\sqrt{\strut 2\,}}\, \left(\dfrac{\sqrt{\strut 2\,}}{\sqrt{\strut 2\,}}\right)\, =\, \dfrac{3}{2}\, \sqrt{\strut 2\,}\)
Surely i could just make the numerator 1 and the denominator square root of 2 right?
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