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
Dahasolnce [82]
3 years ago
13

Find cube root of 175616 ??​

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

56

Step-by-step explanation:

Cube root of 175616 by prime factorization method is 56

Solution:

To find cube root of 175616 by prime factorization method

A number that must be multiplied by itself three times to equal a given number is called cube root

Prime factorization method:

Prime factorization is a number written as the product of all its prime factors.

In order of finding cube root by prime factorization we use the following steps:

Step I : Obtain the given number

Step II : Resolve it into prime factors.

Step III : Group the factors in 3 in such a way that each number of the group is same

Step IV : Take one factor from each group

Step V : Find the product of the factors obtained in step IV. This product is the required cube root

Prime factorization of 175616:

\text{ prime factors of 175616 } = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7 prime factors of 175616 =2×2×2×2×2×2×2×2×2×7×7×7

Thus we get,

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7}

3

175616

=

3

2×2×2×2×2×2×2×2×2×7×7×7

Make the groups of 3 of equal numbers

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{2 \times 2 \times 2 \times } \times \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{7 \times 7 \times 7}

3

175616

=

3

2×2×2

×

3

2×2×2×

×

3

2×2×2

×

3

7×7×7

So there are 4 equal groups. So from that group take one factor out

\sqrt[3]{175616} = 2 \times 2 \times 2 \times 7 = 56

3

175616

=2×2×2×7=56

Thus Cube root of 175616 by prime factorization method is 56

please mark me as a brainlist

You might be interested in
Final Shot John Diggle needs to give up his trusted Glock for a more non-lethal weapon. Cisco Ramon builds him a stun gun that h
lidiya [134]
The h in p will start the p and the glock I believe
7 0
3 years ago
Which quiz did met have a better score?
MaRussiya [10]
I'm her first quiz she did better, this is going to be hard to explain but pay attention 92% as a decimal is 92/100 keep this in mind, then 27 out of 30 question we try to make 30 go into 100 but we know 30 can't go into 100 without a decimal so what we do is we change the decimal to 90 so for the 27 out of 30 it is now 81/90, now we need to change the denominator in 92/100 to 90 so we subtract 10 from the numerator and denominator to get 82/100 so compare the 2 decimals you got 81/90 and 82/90 and you find that 82/90 is bigger so she did better on the first quiz
7 0
3 years ago
Read 2 more answers
The systems shown have the same solution set. <br> TRUE OR FALSE
tamaranim1 [39]
False, they have a different slope and y intercept
3 0
2 years ago
Read 2 more answers
the table below shows the function of f determine the value of f(3) that will lead to an average rate of change of 19 over the i
3241004551 [841]

ANSWER

f(3) =  - 25

EXPLANATION

We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].

The average rate of change of f(x) over the interval [a,b]:

=  \frac{f(b) - f(a)}{b - a}

If the average rate of change over the interval [3, 5] is 19, then;

\frac{f(5) - f(3)}{5 - 3}  = 19

From the to table f(5)=13

\frac{13 - f(3)}{2}  = 19

13 - f(3) = 19 \times 2

13 - f(3) = 38

- f(3) = 38 - 13

- f(3) = 25

f(3) =  - 25

7 0
3 years ago
Pls help!!!!!!!!!!!!!!!!
MakcuM [25]

Answer:

6562331215

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Evaluate the function for x=3a
    10·1 answer
  • A clothing store offers a shirt in 5 colors, in long or short sleeves, with a choice of three different collars. How many ways c
    5·2 answers
  • Combine terms: 12a + 26b -4b – 16a.
    11·1 answer
  • There are 33.8 fluid ounces in a liter There are 128 fluid ounces in a gallon about how many liters are in a gallon?
    13·2 answers
  • lamika buys 12 packs of juice boxes that are on sale and pays a total of 48 dollars. Use a ratio table to determine how much lam
    11·1 answer
  • Please answer question now
    9·1 answer
  • Why do people ...................
    6·1 answer
  • -3(12 - m) = -1(m - 8)
    5·1 answer
  • Please answer these!!!! :D
    8·1 answer
  • the catalogue price of an article is rs.50000 and a manufacturer sells it to the distributor at a discount of 20% of the catalog
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!