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
inysia [295]
3 years ago
11

What is the answer of this question? ​

Mathematics
1 answer:
TEA [102]3 years ago
6 0

9514 1404 393

Answer:

  970

Step-by-step explanation:

It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...

  (5 +2√6)³ +1/(5 +2√6)³ = 970

_____

The cube of 'a' is ...

  (5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³

  = 125 +3·50√6 +3·120 +48√6

  a³ = 485 +198√6

The reciprocal of this is ...

  b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1

  b³ = 485 -198√6

Then the sum is ...

  a³ +b³ = (485 +198√6) +(485 -198√6) = 970

You might be interested in
Write (8a^-3)^-4/3 in simplest form. <br><br> Please show your work!
german

Answer:

(a/2) ^4  or a^4/16

Step-by-step explanation:

(8a^-3)^-4/3

split into two parts

8^ -4/3   *  (a^-3)^-4/3

using the power to the power rule we can multiply the exponents

8^(-4/3)  *a^(-3*-4/3)

8^ (-4/3) * a^(4)

replace 8 with 2^3

(2^3)^(-4/3) * a^(4)

using the power to the power rule we can multiply the exponents

2^(3*-4/3) * a^(4)

2 ^ (-4) * a^4

the negative exponent means it goes in the denominator if it is in the numerator

a^4/2^4

make a fraction

(a/2) ^4

or a^2/16

8 0
3 years ago
Read 2 more answers
you buy 7 packages total of AA and AAA. AA has 6 batteries in each pack and AAA has 8 batteries in each pack. you end up with 52
Nina [5.8K]

Answer:

you bought 8 packs in total or four of each

Step-by-step explanation:

if you ad 6 and eight you get 14 and when you divide 52 by 14 you get four. to ensure your answer if you multiply 6 by 4 and 8 by 4 and add them together you will get 52

3 0
3 years ago
Will three soccer balls weigh more than 1 kilogram
Artyom0805 [142]

Answer:

No

Step-by-step explanation:

3 0
3 years ago
Find the missing length to the nearest ten
Allushta [10]
It is 9

..............................................................................................................................

6 0
3 years ago
If you have 36 ft of fencing what are the area of the different rectangles you could enclose with the fencing?consider only whol
n200080 [17]

The fence you have must fit the perimeter of the rectangle.

With 36 feet of fence, these are the rectangles that you can enclose:

1-ft x 17-ft . . . Area = 17 ft²

2 x 16 . . . Area =  32 ft²
3 x 15 . . . Area =  45 ft²
4 x 14 . . . Area =  56 ft²
5 x 13 . . . Area =  65 ft²
6 x 12 . . . Area =  72 ft²
7 x 11 . . . Area =  77 ft²
8 x 10 . . . Area =  80 ft²
9 x 9 . . . Area =  81 ft²


6 0
4 years ago
Read 2 more answers
Other questions:
  • Area of square = 144x <br> Side of square = 4x <br> What does X___ = please answer this !!!
    5·1 answer
  • A wheel has ten chairs and people are seated two per chair. Every minute a chair passes the exit platform. The wheel opens at 11
    15·1 answer
  • Which of the following statements is correct? 15 = 700 15 &lt; 700 15 &gt; 700 700 ≠ 700
    15·2 answers
  • 0.19444444444 as a fraction
    5·1 answer
  • Convert kg into dg<br>1) 0.089kg<br>2) 0.0659 kg​
    11·2 answers
  • 3000 exercise books are arranged into 3 piles. The first pile has 10 more books than the second pile. The number of books in the
    6·1 answer
  • A bug was sitting on the tip of the propeller blade when the propeller started to rotate. The bug held on for 5 rotations before
    8·1 answer
  • What is LCM of 24,30,36?<br> in a long method ​
    12·1 answer
  • Simplify the expression 2(10) + 2(x - 4)
    6·1 answer
  • A pet store has three fish tanks each holding a different volume of water in a different number of fish to a holds 4 L and five
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!