1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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>

You might be interested in
The sequence 2, 3, 5, 6, 7, 10, 11, $\ldots$ contains all the positive integers from least to greatest that are neither squares
sergeinik [125]
The 400th term is 425.

There are floor(√400) = 20 squares in the range 1..400, so the 400th term will be at least 420. There are floor(∛420) = 7 cubes in the range 1..400, so the 400th term may be as high as 427. However, there are \lfloor\sqrt[6]{427}\rfloor=2 numbers that are both squares and cubes. Consequently, the 400th term will be 427-2 = 425.
7 0
3 years ago
Please help if possible. Thank you!
Shtirlitz [24]

Answer:15 pi

Step-by-step explanation:

The scope is 10(r)*2*pi

XPY is 3 quarters of the slope, which equals to 0.75*20*pi=15pi

6 0
3 years ago
Read 2 more answers
Which ordered pair (x, y) is the solution to the given system of linear equations?
anygoal [31]

Answer:

(-1,0)

Step-by-step explanation:

3(-1)+3(0)=-3

-3+0=-3

-3=-3

-2(-1)+(0)=2

2+0=2

2=2

4 0
3 years ago
Be my friend with your a Tauras, Leo, or Capicorn. I love those zodiac signs!
garri49 [273]

same i love them they are too dangerous

plz mark me as brilliant answer

3 0
2 years ago
Read 2 more answers
Ashley earned $20 babysitting in january. In February she earned $32. What is the percent of change in her earnings?
VARVARA [1.3K]

Answer:

Step-by-step explanation: her precent change is 12% because 32 - 20 = 12 and since 12 is a whole number that would make it 12%

3 0
3 years ago
Other questions:
  • A kitchen makes 2,944 ounces of soup each week. There are 128 ounces in 1 gallon. How many gallons of soup does the kitchen make
    12·1 answer
  • Leo went to the store to buy ingredients for his vegetable stew.He purchased 1.79 Lbs of potatoes and 2.34 Lbs of carrots for th
    13·1 answer
  • The very busy Freshman class is selling tickets for an upcoming field hockey game. The class sells 20 more student tickets than
    10·1 answer
  • What is 62.5% as a fraction in simplest form
    13·2 answers
  • Round to the place value of the underlined digit 347,456 4 is underlined
    5·2 answers
  • Join meeting link will be in comments
    6·2 answers
  • Simplify<br> 69 +39<br> 018<br> O 81
    5·2 answers
  • 5=<br> 5=<br> \,\,\frac{x}{3}<br> 3<br> x<br> ​
    9·1 answer
  • What percent of 50 is 20?
    12·1 answer
  • A chain weighs 8 pounds per foot. How many ounces will 5 inches weigh? Round your answer to the nearest tenth as needed.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!