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
Nikolay [14]
3 years ago
13

(6-3(cube root of 6)/(cube root of 9)

Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0

For this case we must simplify the following expression:

\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}}

Multiplying the numerator and denominator by(\sqrt [3] {9}) ^ 2

\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}} * \frac {(\sqrt [3] {9}) ^ 2} {(\sqrt [3] { 9}) ^ 2} =

We rewrite:

\frac {\frac {6-3 \sqrt [3] {6}} * (\sqrt [3] {9}) ^ 2} {\sqrt [3] {9} * (\sqrt [3] {9 }) ^ 2} =

By properties of powers we have that:

a ^ m * a ^ n = a ^ {m + n}\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {(\sqrt [3] {9}) ^ 3} =\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {9} =

We rewrite, moving the exponent within the radical:

\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {9 ^ 2}} {9} =\\\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {81}} {9} =

We can rewrite3 * 3 ^ 3 = 81

\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {3 * 3 ^ 3}} {9} =

We simplify:

\frac {(6-3 \sqrt [3] {6}) * 3 \sqrt [3] {3}} {9} =

We apply distributive property:

\frac {18 \sqrt [3] {3} -9 \sqrt [3] {18}} {9} =

Simplifying we finally have:

2 \sqrt [3] {3} - \sqrt [3] {18}

Answer:

2 \sqrt [3] {3} - \sqrt [3] {18}

You might be interested in
How do you write twelve and five hundred ninety-nine thousandths in standard form
snow_lady [41]
The answer would be 12.599
5 0
2 years ago
Tell wether the triangle with the given side is a right triangle.
BlackZzzverrR [31]

Answer:

Number 4 is a right triangle whether 3 isnt.

Step-by-step explanation:

I just know this because a right triangle is always gonna have a 90 degree angle whether that number 3 doesnt have one

8 0
3 years ago
Factor equation show work.<br> 3x^2=4x-1x^2
sasho [114]
2x^2=4x
I'm pretty sure this is it because there are only 2 like terms so you can't combine anything with 4x.
6 0
3 years ago
Find the percent of change. 68 to 42.5
ohaa [14]
Your answer would be 176.25%
7 0
3 years ago
Read 2 more answers
What does 2+2 equal to<br>​
Mazyrski [523]

Answer:

Step-by-step explanation:

1

5 0
2 years ago
Read 2 more answers
Other questions:
  • 96 16 81 = x 11 15 18 = y what is the value of y-2x?
    12·1 answer
  • Help me anyone ???????
    9·1 answer
  • 1. Let T(p = 0.06p be a function that calculates
    12·1 answer
  • Ann cleans an apartment in 12 hours and liz cleans an apportment in 18 hours. How long would it take to clean an appartment toge
    8·1 answer
  • Peggy had three times as many quarters and nickels. she had $1.60 in all. How many nickels and how many quarters did she have?
    7·2 answers
  • What is the constant term of -3x^4-7x+2
    13·1 answer
  • Explain how to write a composite function to find<br> the area of the region at time t.
    7·1 answer
  • The perimeter of a square picnic blanket is 40 feet. How long is each side?
    5·1 answer
  • Help I need HELP FAST I give brainliest.
    5·1 answer
  • E =mc^2 , solve for m
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!