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Cerrena [4.2K]
3 years ago
13

If 5=q what is the value of 4q + 2q squared

Mathematics
1 answer:
pentagon [3]3 years ago
5 0

The value of 4q+2q is 30
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Rationalize the denominator of \frac{1 \sqrt{3}}{1-\sqrt{3}}. When you write your answer in the form A B\sqrt{C}, where A, B, an
kobusy [5.1K]

Answer:

The value of ABC is 6.

Step-by-step explanation:

Consider the expression

\frac{1+\sqrt{3}}{1-\sqrt{3}}

Rationalize the denominator.

\frac{1+\sqrt{3}}{1-\sqrt{3}}\times \frac{1+\sqrt{3}}{1+\sqrt{3}}

\frac{(1+\sqrt{3})^2}{1^2-(\sqrt{3})^2}

\frac{1^2+(\sqrt{3})^2+2\sqrt{3}}{1-3}

\frac{1+3+2\sqrt{3}}{-2}

\frac{4+2\sqrt{3}}{-2}

\frac{4}{-2}+\frac{2\sqrt{3}}{-2}

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The answer in the form

A+B\sqrt{C}           .... (2)

On comparing (1) and (2), we get

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We need to find the value of ABC.

ABC=(-2)(-1)(3)=6

Therefore the value of ABC is 6.

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3 years ago
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