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
Maksim231197 [3]
3 years ago
9

How is the process of this operation?

sqrt%7Bz%2B5%7D%20%7D%20" id="TexFormula1" title=" \frac{ \sqrt[6]{z+5} }{ \sqrt{z+5} } " alt=" \frac{ \sqrt[6]{z+5} }{ \sqrt{z+5} } " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0
a^\frac{n}{m}=\sqrt[m]{a^n}\\---------------\\\\ \dfrac{ \sqrt[6]{z+5} }{ \sqrt{z+5} } =(z+5)^\frac{1}{6}:(z+5)^\frac{1}{2}\\\\/use:a^n\cdot a^m=a^{n+m}/\\\\=(z+5)^{\frac{1}{6}+\frac{1}{2}}=(z+5)^{\frac{1}{6}+\frac{3}{6}}=(z+5)^\frac{4}{6}=(z+5)^\frac{2}{3}\\\\=\sqrt[3]{(z+5)^2}=\sqrt[3]{z^2+2z\cdot5+5^2}=\sqrt[3]{z^2+10z+25}
You might be interested in
Given a rectangle with an area of 20 square units, if the width is x units and the length is x + 1 units, what is the difference
ollegr [7]

Answer: 1unit.

Step-by-step explanation:

Area of the rectangle

A = length × width

Since the area = 20 and the width is x and the length is x + 1.

We now substitute for the values in the above formula and solve for x

20 = x × x + 1

20 = x( x + 1 ), we now open

20 = x² + x , then re arrange.

x² + x - 20 = 0, this is a quadratic equation.we solve for x using quadratic means

Here, I am going to solve using factorization by grouping

x² + x - 20 = 0

x² + 5x - 4x - 20 = 0

x( x + 5 ) - 4( x + 5 ) = 0

( x + 5 )( x - 4 ). = 0

Therefore, the solution for x will be

x = -5 or 4, but x can not be -5 ( negative), so x = 4.

Now the difference between width and the length can easily be calculated from the above,

Width = 4 (x) , and length = 5 (4 + 1),

Now difference will be

5 - 4 = 1unit.

5 0
3 years ago
What is (3x+8) + (6x+2) in simplest form
barxatty [35]
(3x+8) + (6x+2) \\ \\ 3x + 8 + 6x + 2 \ / \ simplify \\ \\ (3x + 6x) + 8 + 2 \ / \ gather \ like \ terms \\ \\ 9x + 8 + 2 \ / \ simplify \\ \\ 9x + 10 \ / \ simplify \\ \\ Answer: \fbox {9x + 10}
7 0
3 years ago
Read 2 more answers
A bag contains 13 red bulbs,5 white bulbs and some green bulbs. a bulb is selected at random from the bag. the probability of se
maw [93]
1. There are 6 green bulbs because
13+5=18*1/3=6 green bulbs
2. The probability of getting a red bulb is 15/8
Hope it helps you!!!!
4 0
3 years ago
Help me please, i’m confused. thanks!
harkovskaia [24]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Pls help me, cause I don't understand one bit of it at all​
topjm [15]

Answer:

I promise you this is easier than it looks, just bare with me.

You have to order these numbers from the smallest to the biggest. Now before we do this, we wanna make the fractions and mixed numbers decimals to make this easier.

5 8/11

Convert the fraction to a decimal: Divide the numerator by the denominator.  (8 divide by 11).

Add this decimal number to the whole number part of the mixed number. (0.72 plus 5)

It would be 5.72

Now 57/10

The same steps as the last one, but since it isn't a mixed number you don't add anything. (57 divided by 10)

It would be 5.7

Now we have to order them from least to greatest. How do we figure that out? Well lets list the numbers that we have now:

5.72

5.7

5.67

5.726

Now since they all have the same whole number, we just have to look at the numbers after the decimal.  Well the least number we have here is "7". Then it would be 67, then 72, then 726.

So the answer would be from least to greatest:

5.7

5.67

5.72

5.726

I hope this helps..sorry if I took so long I wanted to make sure I explained this as good as I can so you don't keep struggling. Good luck, take care <3

Have a good night/day (:! Much love!

8 0
3 years ago
Other questions:
  • What’s the surface area of a right prism
    6·1 answer
  • A video game store has a 20% sale on all video games. If the game you wanted cost $32.00, what would the discount be?
    7·2 answers
  • Antionio created a scale drawing for his garden. He used a scale of 1 cm to 1 m. This scale expressed without units would be wha
    5·1 answer
  • Two fair dice each have 5 sides numbered 1-5. Let X be the sum of the two dice. Determine (a, 10%) the probability distribution
    10·1 answer
  • Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t
    8·1 answer
  • ANNNSWER PLZ 20 c rule
    14·2 answers
  • In Exercise 5.21, we learned that a Rasmussen Reports survey of 1,000 US
    12·1 answer
  • Given the side lengths determine if the following triangles exist, if they do classify
    9·1 answer
  • Please help answer needed asap
    5·1 answer
  • Help asap grade 5 math.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!