Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
2
2-√6x
A.
2+√6x
2-6x
B. 2+√6x
4-3x
C. 2+√6x
2-3x
D. 2+√6x
4-6x

Question

22-06-2022
Mathematics

contestada

Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
2
2-√6x
A.
2+√6x
2-6x
B. 2+√6x
4-3x
C. 2+√6x
2-3x
D. 2+√6x
4-6x

$Which choice is equivalent to the fraction below when x is an appropriate value Hint Rationalize the denominator and simplify 2 26x A 26x 26x B 26x 43x C 26x 23 class=$

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ap8997154 ap8997154 · Answer 1 · 2022-06-24T09:25:38+02:00

A fraction is a way to describe a part of a whole. The correct option is C.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The choice that is equivalent to the fraction can be found by rationalizing the denominator of the fraction. Therefore, we can write,

[tex]\dfrac{2}{2-\sqrt{6x}}\\\\\\=\dfrac{2}{2-\sqrt{6x}} \times \dfrac{2+\sqrt{6x}}{2+\sqrt{6x}}\\\\\\= \dfrac{4+2\sqrt{6x}}{4-6x}\\\\\\=\dfrac{2(2+\sqrt{6x})}{2(2-3x)}\\\\\\= \dfrac{2+\sqrt{6x}}{2-3x}[/tex]

Hence, the correct option is C.

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Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 2 2-√6x A. 2+√6x 2-6x B. 2+√6x 4-3x C. 2+√6x 2-3x D. 2+√6x 4-6x

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What is a Fraction?

Otras preguntas

Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
2
2-√6x
A.
2+√6x
2-6x
B. 2+√6x
4-3x
C. 2+√6x
2-3x
D. 2+√6x
4-6x