Mathematics: The question is this: Rationalize the denominator and simplify. Plssss hurry & answer this

The question is this: Rationalize the denominator

Ответ:

loredobrooke9929

10.02.2022

Mathematics

9514 1404 393

$\dfrac{20+5\sqrt{3}}{13}$

Step-by-step explanation:

Multiply numerator and denominator by the "conjugate" of the denominator.

$\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}$

This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.

a² - b² = (a -b)(a +b)

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Ответ:

kristieroth1

30.03.2021

Mathematics

Step-by-step explanation:

You will be more likely to eat one with caramel

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The question is this: Rationalize the denominator and simplify. Plssss hurry & answer this

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