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Free_Kalibri [48]
3 years ago
8

Select all the expressions that are equivalent to 24a – 6. 2(12a – 3) –3(2a + 2) + 18a 3(–2 + 8a) –6(2 – a) + 18a + 6 –2(12a + 3

)d
Mathematics
2 answers:
mafiozo [28]3 years ago
7 0

Answer:

2(12-3)

Step-by-step explanation:

2 x 12 =24 2 x -3=-6

kvasek [131]3 years ago
6 0

Answer:

2 (12a-3)

Step-by-step explanation:

do distributive property

2 x 12a = 24a

2 x -3 = -6

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\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}

<h2>Explanation:</h2>

Here we have the following expression:

3\sqrt{22}\sqrt{58}\sqrt{18}

So we need to simplify that radical expression. By property of radicals we know that:

\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}

So:

3\sqrt{22}\sqrt{58}\sqrt{18}=3\sqrt{22\times 58 \times 18}=3\sqrt{22968}

The prime factorization of 22968 is:

22968=2^3\cdot 3^2\cdot11\cdot 29

Hence:

3\sqrt{22968}=3\sqrt{2^3\cdot 3^2\cdot11\cdot 29}=3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29}

By property:

\sqrt[n]{a^n}=a

So:

3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29} \\ \\ 3(2)(3)\sqrt{2\cdot 11\cdot 29}=18\sqrt{638}

Finally:

\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}

<h2>Learn more:</h2>

Radical expressions: brainly.com/question/13452541

#LearnWithBrainly

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