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
xxTIMURxx [149]
3 years ago
14

What is the simplest form of the following expression?

Mathematics
2 answers:
S_A_V [24]3 years ago
7 0
\sqrt[3]{ \frac{12x ^{2} }{16y} } =  \sqrt[3]{\frac{3x ^{2} }{4y} }
sweet-ann [11.9K]3 years ago
5 0

Answer:

The simplest form of the following expression is \sqrt[3]{\frac{3x^2}{4y}}

Step-by-step explanation:

The given expression is

\sqrt[3]{\frac{12x^2}{16y}}

Factor the numerator and denominator.

\sqrt[3]{\frac{3\times 4\times x^2}{4\times 4\times y}}

3 is common factor. Cancel out the common factor.

\sqrt[3]{\frac{3\times x^2}{4\times y}}

\sqrt[3]{\frac{3x^2}{4y}}

Therefore the simplest form of the following expression is \sqrt[3]{\frac{3x^2}{4y}}.

You might be interested in
I don't know how to do this. Can someone help me please?
Svetach [21]
1. y =220- x
150=220-70
5 0
3 years ago
This is what i need help on
Scilla [17]
G2=g1*2
g3=g1*2²
196=x*4
/4        /4
49
7 0
3 years ago
What is bigger 70% of 200 or 1/4 of 160?
Hoochie [10]
70% of 200 is the answer

3 0
3 years ago
Read 2 more answers
Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of
Luda [366]

Answer:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

  • |C| = \sqrt{a^2+b^2}

Then, the work consists in finding pairs (a,b) for which:

  • \sqrt{a^2+b^2}=3

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}

I will use b =0.5, b = 1, b = 1.5, b = 2

b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236

Then, four distinct complex numbers that have an absolute value of 3 are:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i
4 0
3 years ago
Estimate the square root or round to the nearest integer √17,√242,√320
slega [8]

Answer:

a: 4.12310563

b: 15.5563492

c: 17.8885438

4 0
3 years ago
Other questions:
  • Mr. Roberts is the soil conservation agent for Caddo County and just completed a study of the feral hog population in the county
    13·2 answers
  • Find the surface area of the cone to the nearest square unit. Use π = 3.14. radius 6cm height 9cm
    10·1 answer
  • To which family does the function y= (x+2)^1/2 +3 belong? A.quadratic B.square root C.exponential D.reciprocal
    10·2 answers
  • Use the partial quotient strategy to solve 74 ➗ 3
    9·2 answers
  • I need 11 through 14
    14·1 answer
  • Fill in the blanks please
    8·1 answer
  • Solve the differential equation dy dx equals the quotient of y times the cosine of x and the quantity 1 plus y squared with the
    12·1 answer
  • Can someone please help me with this ​
    14·1 answer
  • How many grams are equal to 3,418 milligrams? Use the placement of the decimal point when dividing by a power of 10 to help you.
    5·1 answer
  • What is the precent of increase from 5 to 6?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!