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Amiraneli [1.4K]
3 years ago
11

What is the product of (3 the square root of 8)(4 the square root of 3)? Simplify your answer

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

3\sqrt{8}\cdot4\sqrt{3} \\12\sqrt{24} \\12\cdot2\sqrt{6} \\\boxed{24\sqrt{6}}

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Is the simplified form of 2 square root of 3 + 3 square root of 3 rational?
trasher [3.6K]

2\sqrt3+3\sqrt3=(2+3)\sqrt3=5\sqrt3-\text{It's an irrational number}

5 0
3 years ago
Subtract 7a<br><br>2<br><br>-4ab+2b<br><br>2<br><br>from 3ab+7a2+2b2
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

3ab + 7a² + 2b² - (7a² - 4ab + 2b²) = 3ab + 7a² + 2b²  - 7a² + 4ab - 2b²

Now combine like term. Like terms have same variable with same power.

= <u>3ab + 4ab</u>  <u>+ 7a² - 7a²</u>  + <u>2b² - 2b²</u>

= 7ab

4 0
2 years ago
Simplify the expression where possible. (6^3)^-3
astraxan [27]

\bf ~\hspace{7em}\textit{negative exponents}&#10;\\\\&#10;a^{-n} \implies \cfrac{1}{a^n}&#10;~\hspace{4.5em}&#10;a^n\implies \cfrac{1}{a^{-n}}&#10;~\hspace{4.5em}&#10;\cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;(6^3)^{-3}\implies 6^{-3\cdot 3}\implies 6^{-9}\implies \cfrac{1}{6^9}\implies \cfrac{1}{10077696}

3 0
3 years ago
Read 2 more answers
Researchers have discovered a new genetic marker for a form of cancer. Twelve percent of the overall population carry this marke
In-s [12.5K]

Answer:

The probability that a person with the marker develops cancer is 0.0725.

Step-by-step explanation:

Let's denote the events as follows:

<em>A</em> = a person has cancer

<em>B</em> = a person carries the marker.

<u>Given:</u>

P (A) = 0.03

P (B) = 0.12

P (B|A) = 0.29

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}

Use the conditional probability formula to compute the probability that a person with the marker develops cancer.

P(A|B)=\frac{P(B|A)P(A)}{P(B)} =\frac{0.29\times0.03}{0.12}=0.0725

Thus, the probability that a person with the marker develops cancer is 0.0725.

3 0
3 years ago
Will give 50 points for this answer. Perform the indicated operation. 22 6/7 ∙ 1 1/2
Varvara68 [4.7K]

Answer:

 22 \frac{6}{7} × \frac{11}{2}  = 125 .71

Step-by-step explanation:

22 \frac{6}{7} × \frac{11}{2}

   ={[ ( 22 × 7) + 6] ÷ 7 } × \frac{11}{2}

    = \frac{160}{7} × \frac{11}{2}

    = \frac{1760}{14}

     = \frac{880}{7}

   = 125 .71

5 0
3 years ago
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