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Sedbober [7]
2 years ago
9

Need step-by-step. Please answer correctly. This determines what grade I get. I will mark brainliest to the first person who ans

wers with a step-by-step explanation. Need fast!
I got 3√3 but it is not an answer choice.

Mathematics
1 answer:
tatyana61 [14]2 years ago
3 0

Answer:

  3√3

Step-by-step explanation:

For the problem shown here, your answer 3√3 is correct.

When there is a radical by itself in the denominator, you multiply numerator and denominator by a radical that results in the product being rational. For a square root, that will usually be the same square root:

  \dfrac{9}{\sqrt{3}}=\dfrac{9}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{9\sqrt{3}}{3}=\boxed{3\sqrt{3}}

__

If the problem has a sum in the denominator involving a square root, then you multiply numerator and denominator by the conjugate of that sum (the sum with the sign changed). This uses the special product "difference of squares" to eliminate the radical term.

<u>Example</u>:

  \dfrac{9}{2-\sqrt{3}}=\dfrac{9}{2-\sqrt{3}}\cdot\dfrac{2+\sqrt{3}}{2+\sqrt{3}}=\dfrac{9(2+\sqrt{3})}{2^2-(\sqrt{3})^2}=\dfrac{18+9\sqrt{3}}{4-3}\\\\=\boxed{18+9\sqrt{3}}

__

It is easy to demonstrate that none of the offered choices for this problem has the same value as 9/√3.

9/√3 ≈ 5.196. Offered choices have values of about 4.798, 1.732, 6.681, 23.196 -- none even close.

Please discuss this question with your teacher.

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What is the answer to this question?<br> Y=x^2-1 with the input as 5
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<h3>How to evaluate an equation?</h3>

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y = x^2 - 1

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2 years ago
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Step-by-step explanation:

5 0
2 years ago
In circle O, AD and BE are diameters. What is MAE?
liraira [26]

Answer:

132°

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5 0
3 years ago
Read 2 more answers
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