All categories

3 years ago

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

Find f(g(h(x))) from functions below..

Lilit [14]

Answer:

$f(g(h(x))) = (\sqrt{x} - 8)^4 + 8$

Step-by-step explanation:

$f(x) = x^4 + 8$

$g(x) = x - 8$

$h(x) = \sqrt{x}$

$f(g(h(x))) = f(g(\sqrt{x})) = f(\sqrt{x} - 8) = (\sqrt{x} - 8)^4 + 8$

4 0

3 years ago

Okie is a low western lowland gorilla living at the frankline park zoo near boston, ma. he loves to fingerpaint. many of his pai

Virty [35]

13500-1500= 12000/5=2400

12000-2400= 9600

$9600 most expensive painting

5 0

3 years ago

-36 as a fraction in simplest form

Cerrena [4.2K]

Answer:

-1/2

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Un carpintero quiere cortar una plancha de triple y de 1m de largo y 60 cm de ancho, en cuadrados lo más grandes posibles. El ca

Ugo [173]

Answer: $20\ cm$

Step-by-step explanation:

The first step to solve the exercise is to make the conversion from meters to centimeters.

Since $1\ m=100\ cm$ , then the dimensions of the wood board in centimeters are:

$Lenght=100\ cm\\\\Width=60\ cm$

Now, you must find the Greatest Common Factor (GCF). The steps are:

- Descompose 100 and 60 into their prime factors:

$100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5$

- Multiply the commons with the lowest exponents:

$GCF=2^2*5\\\\GCF=4*5\\\\GCF=20$

Therefore, the side lenght of each square must be:

$s=20\ cm$

7 0

3 years ago

Thirty-two divided by the opposite of 4

Pachacha [2.7K]

Hello!

The opposite of 4 is -4. We divide below.

32÷-4=-8

Our answer is -8.

I hope this helps!

6 0

3 years ago

Read 2 more answers

What is the answer of this question? ​

What is the answer of this question?