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HACTEHA [7]
3 years ago
11

What is the following quotient? 6-3(3 √8)/3 √9

Mathematics
2 answers:
Vilka [71]3 years ago
8 0

Answer:

The correct option is A) 2\sqrt[3]{3}-{\sqrt[3]{18}

Step-by-step explanation:

Consider the provided expression.

\frac{\left(6-3\left(\sqrt[3]{6}\right)\right)}{\sqrt[3]{9}}

Rationalize by multiplying conjugate \frac{9^{\frac{2}{3}}}{9^{\frac{2}{3}}}

\frac{\left(6-3\sqrt[3]{6}\right)\cdot \:9^{\frac{2}{3}}}{\sqrt[3]{9}\cdot \:9^{\frac{2}{3}}}

\frac{9^{\frac{2}{3}}\cdot \:3\left(2-\sqrt[3]{6}\right)}{9}

\frac{9^{\frac{2}{3}}\left(2-\sqrt[3]{6}\right)}{3}

\frac{3^{\frac{4}{3}}\left(2-\sqrt[3]{6}\right)}{3}

3^{\frac{1}{3}}\left(2-\sqrt[3]{6}\right)

2\sqrt[3]{3}-3^{\frac{2}{3}}\sqrt[3]{2}

2\sqrt[3]{3}-{\sqrt[3]{18}

Hence, the correct option is A) 2\sqrt[3]{3}-{\sqrt[3]{18}

WARRIOR [948]3 years ago
5 0

Answer:

Factor the numerator and denominator and cancel the common factors.

Exact Form:

2

3

√

3

−

3

√

18

Decimal Form:

0.26375774

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