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makkiz [27]
2 years ago
7

Write in simplest form:

tle="\sqrt[3]{24a^{10}b^{6}}" alt="\sqrt[3]{24a^{10}b^{6}}" align="absmiddle" class="latex-formula">

Please explain :D
Mathematics
1 answer:
Charra [1.4K]2 years ago
6 0

Answer:

2a^3b^2\sqrt[3]{3a}

Step-by-step explanation:

Use the following rules for exponents:

a^m*a^n=a^{m+n}\\\\\sqrt[3]{x^3}=x

Simplify 24. Find two factors of 24, one of which should be a perfect cube:

8*3=24\\\\2^3=8

Insert:

\sqrt[3]{2^3*3a^{10}b^6}

Now split the exponents. Split 10 into as many 3's as possible:

10=3+3+3+1

Insert as exponents:

\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^6}

Split 6 into as many 3's as possible:

6=3+3

Insert as exponents:

\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^3*b^3}

Now simplify. Any terms with an exponent of 3 will be moved out of the radical (rule #2):

2\sqrt[3]{3*a^3*a^3*a^3*a^1*b^3*b^3}\\\\\\2*a*a*a\sqrt[3]{3*a^1*b^3*b^3}\\\\\\2*a*a*a*b*b\sqrt[3]{3*a^1}

Simplify:

2a^3b^2\sqrt[3]{3a}

:Done

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Please help thanks !
Kitty [74]

Answer:

option D

Step-by-step explanation:

x^{2} + y^{2} = 16\\\\x^{2} = 16- y^{2}

equation 2:

\frac{x^{2}}{4} - \frac{y^{2}}{25} = 1

so we have:

\frac{16- y^{2} }{4}-\frac{y^{2}}{25}= 1

7 0
3 years ago
PLEASE HELO ASAP, 12 POINTS!!!
never [62]

Answer:b

Step-by-step explanation:l

3 0
3 years ago
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How to solve this equation
mariarad [96]
\bf \sqrt{5x+19}-4=3x-15
\\\\
\sqrt{5x+19}=3x-15+4\\\\ \sqrt{5x+19}=3x-11\leftarrow \textit{square both sides}
\\\\
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\\\\
5x+19=(3x-11)^2\qquad 
\begin{cases}
(3x-11)^2\to (3x-11)(3x-11)\\
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\textit{or use FOIL to expand it}
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7 0
2 years ago
8. Select all the numbers that irrational
Snowcat [4.5K]

Answer:

Answers are square root of 2, square root of 7,

Step-by-step explanation:

Irational is a number that is never ending.

Square root of 2 is irrational since there is no pattern to the number after the decimal.

10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is  not a irrational.

Sqrt of 7 does not have a pattern after the decimal point so it is irrational.

 

5.87 with a dash on top is rational since it means it has a pattern of continues 87's.

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4 0
2 years ago
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Tems11 [23]
An example would be using points
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it is a function because each input has only one input.

or

using the vertical line test none of the points are on the same line
6 0
2 years ago
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