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
ankoles [38]
3 years ago
13

How do you simplify Radicals?√180v^4​

Mathematics
1 answer:
julsineya [31]3 years ago
7 0

Here are the steps required for Simplifying Radicals:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Shorter version:

Step 1: Find the prime factorization of the number inside the radical.  

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

You might be interested in
What is the y-intercept of the graph of the line given by the equation 3y + 4x = 15
liraira [26]

Answer:

It would be 5

Step-by-step explanation:

4 0
2 years ago
I need a Quotient and a remainder for this polynomial long division
Elina [12.6K]
2x+6 3/x+7 I attached an image of my work on here

7 0
2 years ago
Plss help me as soon as possible i will give you lots of points
mezya [45]

Answer:

Step-by-step explanation:

75x + -300 = 25x + 200

Reorder the terms:

-300 + 75x = 25x + 200

Reorder the terms:

-300 + 75x = 200 + 25x

Solving

-300 + 75x = 200 + 25x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25x' to each side of the equation.

-300 + 75x + -25x = 200 + 25x + -25x

Combine like terms: 75x + -25x = 50x

-300 + 50x = 200 + 25x + -25x

Combine like terms: 25x + -25x = 0

-300 + 50x = 200 + 0

-300 + 50x = 200

Add '300' to each side of the equation.

-300 + 300 + 50x = 200 + 300

Combine like terms: -300 + 300 = 0

0 + 50x = 200 + 300

50x = 200 + 300

Combine like terms: 200 + 300 = 500

50x = 500

Divide each side by '50'.

x = 10

Simplifying

x = 10

3 0
3 years ago
A rectangular swimming pool has a base of 200 square feet. The pool has a depth of 5 feet.
Goshia [24]

Answer:

D.) 1,000 ft³



If the base of the pool is 200 square feet in size, then we can just multiply 200 by the depth of 5 to equal 1,000 ft³ which is equal to the volume of the pool.












Step-by-step explanation:

Have a great rest of your day
#TheWizzer

6 0
1 year ago
I need help ! It’s says try to analyze it for clues about its purpose and meaning .
Lyrx [107]

Answer:

See explanation

Step-by-step explanation:

The scatter plot shows that there is a negative linear trend.  That as the distance to the coffee shop increases, whatever the y value represents goes down.

6 below and 6 above

(1,4)  (7,1)  Coordinates of the two points on the trend line

I can't see what the Y axis represents so can't really explain the prediction but as the distance to the coffee shop increases, whatever the Y axis represents will decrease.

6 0
2 years ago
Other questions:
  • Solve the equation for y <br> -2x+y=11
    6·2 answers
  • Write a polynomial function of least degree with integral coefficients that has the given zeros. -5, 3i
    15·1 answer
  • I need help is it A B C Or D
    14·1 answer
  • What is 50% of 500,000?
    12·2 answers
  • Factor the sum of the terms as a product of the gcf and another sum 12+18
    15·1 answer
  • A radio transmission tower is feet tall. How long should a guy wire be if it is to be attached feet from the top and is tomake a
    15·1 answer
  • There are 15 animals in a barn. These animals are horses and chickens. There are 44
    7·1 answer
  • What is the numerical coefficient in y=−6x−3
    15·1 answer
  • Hannah drove at a rate of 750 km in 9 hours. If Hannah drives at a
    13·1 answer
  • (2x+1)^2+4x(x-1)-3+3(-4x^2
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!