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
katovenus [111]
3 years ago
9

Simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3​

Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer:

\frac{-8 +2\sqrt{3} }{3}

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

<em></em>

<em>Expanding (1-√3)(⅓+√3)</em>

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

√3 X √3 = 3

hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + \frac{2\sqrt{3} }{3}

= \frac{-8 +2\sqrt{3} }{3}

You might be interested in
What is the slope of the line that passes through the points (-2, 3)(−2,3) and (-14, -5) ?(−14,−5)? Write your answer in simples
NNADVOKAT [17]
I don't know the answer I'm just answering some thing so that Brinley will let me ask a question. Hope this helps LOL
7 0
3 years ago
Se tiene en una caja de canicas 10, 4 blancas y 6 negras
fgiga [73]

Answer:

Step-by-step explanation:

look at it

8 0
3 years ago
What is the area, in square centimeters, of the figure shown.
aev [14]
The area including cutout is 15*8=120
the area of cutout is 5*5=25

120-25=95 cm²
8 0
3 years ago
Read 2 more answers
What are the coordinates of D’ when the quadrilateral is reflected across the line y = x? On a coordinate plane, quadrilateral A
natita [175]

Answer:

D' (1, 3)

Step-by-step explanation:

When reflected across the y = x line, the "x" and "y" coordinates switch.

If D is (3, 1), then:

x = 3

y = 1

Switch the "x" and "y" values, and rewrite as (x, y).

x = 1

y = 3

D' (1, 3)

7 0
3 years ago
Point (-1,3) lies in which quadrant ?​
777dan777 [17]

Quadrant II

Or the top left

5 0
2 years ago
Read 2 more answers
Other questions:
  • Evaluate the function below at x=5. Then, enter your solution. f(x)=3(2)^x
    9·1 answer
  • Student identification codes at a high school are 4-digit randomly generated codes beginning with 1 letter and ending with 3 num
    10·1 answer
  • What is the speed of a dolphin that travels 200 miles in 8 hours
    9·1 answer
  • Type the correct answer in each box. Use numerals instead of words. For this question, any answer that is not a whole number sho
    7·1 answer
  • Use words to describe the relationship between corresponding numbers of hours and weeks
    7·2 answers
  • The solution of this equation has an error. Which of the following steps has the error? 18 − (3x + 5) = 8
    5·1 answer
  • Circles C, B, and P overlap. Circle C contains 9, circle B contains 11, and circle P contains 7. The overlap of circles C and P
    8·2 answers
  • Simplify: -1 | 2/3 - 4 | / 5/6
    13·1 answer
  • I’m so confused on what numbers l should put into the boxes
    12·1 answer
  • Find the circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j , 0 ≤ t ≤ 2π
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!