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love history [14]
3 years ago
6

Simplify the square root of 3 times the fifth root of 3.

Mathematics
2 answers:
Tema [17]3 years ago
4 0

Answer:

The last option:  3^(7/10).

Step-by-step explanation:

√3 *  ⁵√3

= 3^1/2 * 3*1/5

= 3^(1/2*1/5)

= 3^(7/10).

bogdanovich [222]3 years ago
3 0

Answer:

<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

\sqrt{3\sqrt[5]{3} }

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

\sqrt[n]{x^{m}}=x^{\frac{m}{n}}

Applying the property, we have:

\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}

Now, we multiply exponents:

(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}

Then, we sum exponents to get the simplest form:

3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}}  \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }

Therefore, the right answer is <em>three to the three fifths power.</em>

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use the slope formula to determine the slope of a line that passes through the points (4,9) and (-8,-6)
larisa86 [58]

\frac{-6-9}{-8-4}\\ \\\frac{-15}{-12}\\ \\= \frac{5}{4}

Slope: 5/4

6 0
3 years ago
What is the equation of the line that goes through the points (5, 11) and (7,21)?
iragen [17]

Answer:

y = 5x - 14

Step-by-step explanation:

First point coordinates

x₁

5

y₁

11

Second point coordinates

x₂

7

y₂

21

Result

Slope (m)

5

m = 10 / 2 = 5 / 1 = 5

Your function

The entered points belong to an increasing, linear function.

Equation: y = 5x - 14.

Hope i helped :)

5 0
3 years ago
A student finds the slope of the line between (8, 17) and (1, 4). She writes 17-41-8. What mistake did she make? What is the cor
ValentinkaMS [17]

slope = (y2-y1)/(x2-x1)

m =(17-4)/(8-1)

m = 13/7

You have to keep the pairs in the same order

7 0
3 years ago
In 7 hours, Goran reads 56 chapters of a book.<br> What is his rate in chapters per hour?
tensa zangetsu [6.8K]

Answer:

His rate in chapters per hour is 8 chapters per hour

Step-by-step explanation:

If you divide 56 by 7 you get 8 also if you want to check to be sure you can just multiply 8 and 7 or 7 and 8

5 0
2 years ago
Pls help with number 3
Arturiano [62]

Answer:

about 17

Step-by-step explanation:

side 1 =4

side 2=4

side 3=4

one of the slanted lines is about equal to 2 and the other is also about 2

but i rounded it to 17 because a slanted line is longer than one that is straight across

5 0
2 years ago
Read 2 more answers
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